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Finding the Fourth Proportional to 3,640.84, 5,463.32 and 3,031.92

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Solution

The fourth proportional to 3,640.84, 5,463.32 and 3,031.92 is: 4,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.84 : 5,463.32 = 3,031.92 : x
  2. Step 2: Convert to fraction form
    3,640.84/5,463.32 = 3,031.92/x
  3. Step 3: Cross multiply
    3,640.84x = 5,463.32 × 3,031.92
  4. Step 4: Simplify right side
    3,640.84x = 16,564,349.17
  5. Step 5: Solve for x
    x = 16,564,349.17/3,640.84
  6. Step 6: Final answer
    x = 4,549.60

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Why These Related Problems?

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