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Finding the Fourth Proportional to 3,006.78, 4,508.28 and 1,543.92

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Solution

The fourth proportional to 3,006.78, 4,508.28 and 1,543.92 is: 2,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.78 : 4,508.28 = 1,543.92 : x
  2. Step 2: Convert to fraction form
    3,006.78/4,508.28 = 1,543.92/x
  3. Step 3: Cross multiply
    3,006.78x = 4,508.28 × 1,543.92
  4. Step 4: Simplify right side
    3,006.78x = 6,960,423.66
  5. Step 5: Solve for x
    x = 6,960,423.66/3,006.78
  6. Step 6: Final answer
    x = 2,314.91

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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.