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Finding the Fourth Proportional to 7,773.68, 10,725 and 5,414.96

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Solution

The fourth proportional to 7,773.68, 10,725 and 5,414.96 is: 7,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.68 : 10,725 = 5,414.96 : x
  2. Step 2: Convert to fraction form
    7,773.68/10,725 = 5,414.96/x
  3. Step 3: Cross multiply
    7,773.68x = 10,725 × 5,414.96
  4. Step 4: Simplify right side
    7,773.68x = 58,075,446
  5. Step 5: Solve for x
    x = 58,075,446/7,773.68
  6. Step 6: Final answer
    x = 7,470.78

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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.