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Finding the Fourth Proportional to 1,472.72, 2,209.90 and 1,257.28

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Solution

The fourth proportional to 1,472.72, 2,209.90 and 1,257.28 is: 1,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.72 : 2,209.90 = 1,257.28 : x
  2. Step 2: Convert to fraction form
    1,472.72/2,209.90 = 1,257.28/x
  3. Step 3: Cross multiply
    1,472.72x = 2,209.90 × 1,257.28
  4. Step 4: Simplify right side
    1,472.72x = 2,778,463.07
  5. Step 5: Solve for x
    x = 2,778,463.07/1,472.72
  6. Step 6: Final answer
    x = 1,886.62

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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.