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Finding the Fourth Proportional to 11,340.57, 15,646.25 and 6,862.62

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Solution

The fourth proportional to 11,340.57, 15,646.25 and 6,862.62 is: 9,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.57 : 15,646.25 = 6,862.62 : x
  2. Step 2: Convert to fraction form
    11,340.57/15,646.25 = 6,862.62/x
  3. Step 3: Cross multiply
    11,340.57x = 15,646.25 × 6,862.62
  4. Step 4: Simplify right side
    11,340.57x = 107,374,233.86
  5. Step 5: Solve for x
    x = 107,374,233.86/11,340.57
  6. Step 6: Final answer
    x = 9,468.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.