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Finding the Fourth Proportional to 8,739.60, 13,087 and 5,769.08

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Solution

The fourth proportional to 8,739.60, 13,087 and 5,769.08 is: 8,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.60 : 13,087 = 5,769.08 : x
  2. Step 2: Convert to fraction form
    8,739.60/13,087 = 5,769.08/x
  3. Step 3: Cross multiply
    8,739.60x = 13,087 × 5,769.08
  4. Step 4: Simplify right side
    8,739.60x = 75,499,949.96
  5. Step 5: Solve for x
    x = 75,499,949.96/8,739.60
  6. Step 6: Final answer
    x = 8,638.83

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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.