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Finding the Fourth Proportional to 9,684.70, 13,357.11 and 6,148.78

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Solution

The fourth proportional to 9,684.70, 13,357.11 and 6,148.78 is: 8,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.70 : 13,357.11 = 6,148.78 : x
  2. Step 2: Convert to fraction form
    9,684.70/13,357.11 = 6,148.78/x
  3. Step 3: Cross multiply
    9,684.70x = 13,357.11 × 6,148.78
  4. Step 4: Simplify right side
    9,684.70x = 82,129,930.83
  5. Step 5: Solve for x
    x = 82,129,930.83/9,684.70
  6. Step 6: Final answer
    x = 8,480.38

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Half scale
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Double scale
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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.