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Finding the Fourth Proportional to 1,575.92, 2,174.87 and 946.47

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Solution

The fourth proportional to 1,575.92, 2,174.87 and 946.47 is: 1,306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.92 : 2,174.87 = 946.47 : x
  2. Step 2: Convert to fraction form
    1,575.92/2,174.87 = 946.47/x
  3. Step 3: Cross multiply
    1,575.92x = 2,174.87 × 946.47
  4. Step 4: Simplify right side
    1,575.92x = 2,058,449.21
  5. Step 5: Solve for x
    x = 2,058,449.21/1,575.92
  6. Step 6: Final answer
    x = 1,306.19

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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.