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Finding the Fourth Proportional to 9,684.83, 13,369.49 and 7,445.92

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Solution

The fourth proportional to 9,684.83, 13,369.49 and 7,445.92 is: 10,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.83 : 13,369.49 = 7,445.92 : x
  2. Step 2: Convert to fraction form
    9,684.83/13,369.49 = 7,445.92/x
  3. Step 3: Cross multiply
    9,684.83x = 13,369.49 × 7,445.92
  4. Step 4: Simplify right side
    9,684.83x = 99,548,115.75
  5. Step 5: Solve for x
    x = 99,548,115.75/9,684.83
  6. Step 6: Final answer
    x = 10,278.77

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Half scale
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Double scale
Find fourth proportional to 9,685.83, 13,370.87 and 7,446.92
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.