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Finding the Fourth Proportional to 1,542.50, 2,126.10 and 1,229

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Solution

The fourth proportional to 1,542.50, 2,126.10 and 1,229 is: 1,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.50 : 2,126.10 = 1,229 : x
  2. Step 2: Convert to fraction form
    1,542.50/2,126.10 = 1,229/x
  3. Step 3: Cross multiply
    1,542.50x = 2,126.10 × 1,229
  4. Step 4: Simplify right side
    1,542.50x = 2,612,976.90
  5. Step 5: Solve for x
    x = 2,612,976.90/1,542.50
  6. Step 6: Final answer
    x = 1,693.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.