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Finding the Fourth Proportional to 5,801.72, 8,006.52 and 3,149.12

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Solution

The fourth proportional to 5,801.72, 8,006.52 and 3,149.12 is: 4,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.72 : 8,006.52 = 3,149.12 : x
  2. Step 2: Convert to fraction form
    5,801.72/8,006.52 = 3,149.12/x
  3. Step 3: Cross multiply
    5,801.72x = 8,006.52 × 3,149.12
  4. Step 4: Simplify right side
    5,801.72x = 25,213,500.47
  5. Step 5: Solve for x
    x = 25,213,500.47/5,801.72
  6. Step 6: Final answer
    x = 4,345.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.