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Finding the Fourth Proportional to 2,425.72, 3,640.74 and 1,127.92

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Solution

The fourth proportional to 2,425.72, 3,640.74 and 1,127.92 is: 1,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.72 : 3,640.74 = 1,127.92 : x
  2. Step 2: Convert to fraction form
    2,425.72/3,640.74 = 1,127.92/x
  3. Step 3: Cross multiply
    2,425.72x = 3,640.74 × 1,127.92
  4. Step 4: Simplify right side
    2,425.72x = 4,106,463.46
  5. Step 5: Solve for x
    x = 4,106,463.46/2,425.72
  6. Step 6: Final answer
    x = 1,692.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.