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Finding the Fourth Proportional to 2,225.52, 3,338.10 and 686.52

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Solution

The fourth proportional to 2,225.52, 3,338.10 and 686.52 is: 1,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.52 : 3,338.10 = 686.52 : x
  2. Step 2: Convert to fraction form
    2,225.52/3,338.10 = 686.52/x
  3. Step 3: Cross multiply
    2,225.52x = 3,338.10 × 686.52
  4. Step 4: Simplify right side
    2,225.52x = 2,291,672.41
  5. Step 5: Solve for x
    x = 2,291,672.41/2,225.52
  6. Step 6: Final answer
    x = 1,029.72

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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.