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Finding the Fourth Proportional to 9,690.62, 13,375.17 and 7,428.02

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Solution

The fourth proportional to 9,690.62, 13,375.17 and 7,428.02 is: 10,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.62 : 13,375.17 = 7,428.02 : x
  2. Step 2: Convert to fraction form
    9,690.62/13,375.17 = 7,428.02/x
  3. Step 3: Cross multiply
    9,690.62x = 13,375.17 × 7,428.02
  4. Step 4: Simplify right side
    9,690.62x = 99,350,963.39
  5. Step 5: Solve for x
    x = 99,350,963.39/9,690.62
  6. Step 6: Final answer
    x = 10,252.29

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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.