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Finding the Fourth Proportional to 2,092.65, 3,139.29 and 631.92

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Solution

The fourth proportional to 2,092.65, 3,139.29 and 631.92 is: 947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.65 : 3,139.29 = 631.92 : x
  2. Step 2: Convert to fraction form
    2,092.65/3,139.29 = 631.92/x
  3. Step 3: Cross multiply
    2,092.65x = 3,139.29 × 631.92
  4. Step 4: Simplify right side
    2,092.65x = 1,983,780.14
  5. Step 5: Solve for x
    x = 1,983,780.14/2,092.65
  6. Step 6: Final answer
    x = 947.98

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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.