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Finding the Fourth Proportional to 2,345.92, 3,518.92 and 614.58

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Solution

The fourth proportional to 2,345.92, 3,518.92 and 614.58 is: 921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.92 : 3,518.92 = 614.58 : x
  2. Step 2: Convert to fraction form
    2,345.92/3,518.92 = 614.58/x
  3. Step 3: Cross multiply
    2,345.92x = 3,518.92 × 614.58
  4. Step 4: Simplify right side
    2,345.92x = 2,162,657.85
  5. Step 5: Solve for x
    x = 2,162,657.85/2,345.92
  6. Step 6: Final answer
    x = 921.88

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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.