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Finding the Fourth Proportional to 8,508.58, 12,769.11 and 5,585.86

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Solution

The fourth proportional to 8,508.58, 12,769.11 and 5,585.86 is: 8,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.58 : 12,769.11 = 5,585.86 : x
  2. Step 2: Convert to fraction form
    8,508.58/12,769.11 = 5,585.86/x
  3. Step 3: Cross multiply
    8,508.58x = 12,769.11 × 5,585.86
  4. Step 4: Simplify right side
    8,508.58x = 71,326,460.78
  5. Step 5: Solve for x
    x = 71,326,460.78/8,508.58
  6. Step 6: Final answer
    x = 8,382.89

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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.