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Finding the Fourth Proportional to 1,250.47, 1,874.45 and 1,031.77

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Solution

The fourth proportional to 1,250.47, 1,874.45 and 1,031.77 is: 1,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.47 : 1,874.45 = 1,031.77 : x
  2. Step 2: Convert to fraction form
    1,250.47/1,874.45 = 1,031.77/x
  3. Step 3: Cross multiply
    1,250.47x = 1,874.45 × 1,031.77
  4. Step 4: Simplify right side
    1,250.47x = 1,933,999.17
  5. Step 5: Solve for x
    x = 1,933,999.17/1,250.47
  6. Step 6: Final answer
    x = 1,546.62

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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.