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Finding the Fourth Proportional to 8,587.91, 12,883.07 and 2,743.15

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Solution

The fourth proportional to 8,587.91, 12,883.07 and 2,743.15 is: 4,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.91 : 12,883.07 = 2,743.15 : x
  2. Step 2: Convert to fraction form
    8,587.91/12,883.07 = 2,743.15/x
  3. Step 3: Cross multiply
    8,587.91x = 12,883.07 × 2,743.15
  4. Step 4: Simplify right side
    8,587.91x = 35,340,168.12
  5. Step 5: Solve for x
    x = 35,340,168.12/8,587.91
  6. Step 6: Final answer
    x = 4,115.11

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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.