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Finding the Fourth Proportional to 4,487.71, 6,731.58 and 1,892.47

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Solution

The fourth proportional to 4,487.71, 6,731.58 and 1,892.47 is: 2,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.71 : 6,731.58 = 1,892.47 : x
  2. Step 2: Convert to fraction form
    4,487.71/6,731.58 = 1,892.47/x
  3. Step 3: Cross multiply
    4,487.71x = 6,731.58 × 1,892.47
  4. Step 4: Simplify right side
    4,487.71x = 12,739,279.54
  5. Step 5: Solve for x
    x = 12,739,279.54/4,487.71
  6. Step 6: Final answer
    x = 2,838.71

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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.