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Finding the Fourth Proportional to 9,778.62, 13,494.12 and 5,302.29

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Solution

The fourth proportional to 9,778.62, 13,494.12 and 5,302.29 is: 7,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.62 : 13,494.12 = 5,302.29 : x
  2. Step 2: Convert to fraction form
    9,778.62/13,494.12 = 5,302.29/x
  3. Step 3: Cross multiply
    9,778.62x = 13,494.12 × 5,302.29
  4. Step 4: Simplify right side
    9,778.62x = 71,549,737.53
  5. Step 5: Solve for x
    x = 71,549,737.53/9,778.62
  6. Step 6: Final answer
    x = 7,316.96

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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.