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Finding the Fourth Proportional to 7,414.72, 10,242.98 and 5,920.68

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Solution

The fourth proportional to 7,414.72, 10,242.98 and 5,920.68 is: 8,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.72 : 10,242.98 = 5,920.68 : x
  2. Step 2: Convert to fraction form
    7,414.72/10,242.98 = 5,920.68/x
  3. Step 3: Cross multiply
    7,414.72x = 10,242.98 × 5,920.68
  4. Step 4: Simplify right side
    7,414.72x = 60,645,406.83
  5. Step 5: Solve for x
    x = 60,645,406.83/7,414.72
  6. Step 6: Final answer
    x = 8,179.06

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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.