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Finding the Fourth Proportional to 7,708.33, 10,681.46 and 7,240.15

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Solution

The fourth proportional to 7,708.33, 10,681.46 and 7,240.15 is: 10,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.33 : 10,681.46 = 7,240.15 : x
  2. Step 2: Convert to fraction form
    7,708.33/10,681.46 = 7,240.15/x
  3. Step 3: Cross multiply
    7,708.33x = 10,681.46 × 7,240.15
  4. Step 4: Simplify right side
    7,708.33x = 77,335,372.62
  5. Step 5: Solve for x
    x = 77,335,372.62/7,708.33
  6. Step 6: Final answer
    x = 10,032.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.