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Finding the Fourth Proportional to 9,781.32, 14,686.56 and 6,865.32

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Solution

The fourth proportional to 9,781.32, 14,686.56 and 6,865.32 is: 10,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.32 : 14,686.56 = 6,865.32 : x
  2. Step 2: Convert to fraction form
    9,781.32/14,686.56 = 6,865.32/x
  3. Step 3: Cross multiply
    9,781.32x = 14,686.56 × 6,865.32
  4. Step 4: Simplify right side
    9,781.32x = 100,827,934.10
  5. Step 5: Solve for x
    x = 100,827,934.10/9,781.32
  6. Step 6: Final answer
    x = 10,308.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.