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Finding the Fourth Proportional to 9,920.17, 13,691.64 and 5,728.42

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Solution

The fourth proportional to 9,920.17, 13,691.64 and 5,728.42 is: 7,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.17 : 13,691.64 = 5,728.42 : x
  2. Step 2: Convert to fraction form
    9,920.17/13,691.64 = 5,728.42/x
  3. Step 3: Cross multiply
    9,920.17x = 13,691.64 × 5,728.42
  4. Step 4: Simplify right side
    9,920.17x = 78,431,464.41
  5. Step 5: Solve for x
    x = 78,431,464.41/9,920.17
  6. Step 6: Final answer
    x = 7,906.26

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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.