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Finding the Fourth Proportional to 1,542.70, 2,126.73 and 952.90

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Solution

The fourth proportional to 1,542.70, 2,126.73 and 952.90 is: 1,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.70 : 2,126.73 = 952.90 : x
  2. Step 2: Convert to fraction form
    1,542.70/2,126.73 = 952.90/x
  3. Step 3: Cross multiply
    1,542.70x = 2,126.73 × 952.90
  4. Step 4: Simplify right side
    1,542.70x = 2,026,561.02
  5. Step 5: Solve for x
    x = 2,026,561.02/1,542.70
  6. Step 6: Final answer
    x = 1,313.65

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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.