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Finding the Fourth Proportional to 1,354.57, 2,031.86 and 1,150.57

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Solution

The fourth proportional to 1,354.57, 2,031.86 and 1,150.57 is: 1,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.57 : 2,031.86 = 1,150.57 : x
  2. Step 2: Convert to fraction form
    1,354.57/2,031.86 = 1,150.57/x
  3. Step 3: Cross multiply
    1,354.57x = 2,031.86 × 1,150.57
  4. Step 4: Simplify right side
    1,354.57x = 2,337,790.77
  5. Step 5: Solve for x
    x = 2,337,790.77/1,354.57
  6. Step 6: Final answer
    x = 1,725.85

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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.