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Finding the Fourth Proportional to 2,487.47, 3,731.13 and 638.51

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Solution

The fourth proportional to 2,487.47, 3,731.13 and 638.51 is: 957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.47 : 3,731.13 = 638.51 : x
  2. Step 2: Convert to fraction form
    2,487.47/3,731.13 = 638.51/x
  3. Step 3: Cross multiply
    2,487.47x = 3,731.13 × 638.51
  4. Step 4: Simplify right side
    2,487.47x = 2,382,363.82
  5. Step 5: Solve for x
    x = 2,382,363.82/2,487.47
  6. Step 6: Final answer
    x = 957.75

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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.