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Finding the Fourth Proportional to 2,490.22, 3,734.10 and 929.56

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Solution

The fourth proportional to 2,490.22, 3,734.10 and 929.56 is: 1,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.22 : 3,734.10 = 929.56 : x
  2. Step 2: Convert to fraction form
    2,490.22/3,734.10 = 929.56/x
  3. Step 3: Cross multiply
    2,490.22x = 3,734.10 × 929.56
  4. Step 4: Simplify right side
    2,490.22x = 3,471,070.00
  5. Step 5: Solve for x
    x = 3,471,070.00/2,490.22
  6. Step 6: Final answer
    x = 1,393.88

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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.