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Finding the Fourth Proportional to 3,488.59, 5,228.92 and 1,731.39

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Solution

The fourth proportional to 3,488.59, 5,228.92 and 1,731.39 is: 2,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.59 : 5,228.92 = 1,731.39 : x
  2. Step 2: Convert to fraction form
    3,488.59/5,228.92 = 1,731.39/x
  3. Step 3: Cross multiply
    3,488.59x = 5,228.92 × 1,731.39
  4. Step 4: Simplify right side
    3,488.59x = 9,053,295.47
  5. Step 5: Solve for x
    x = 9,053,295.47/3,488.59
  6. Step 6: Final answer
    x = 2,595.12

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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.