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Finding the Fourth Proportional to 8,662.48, 12,995 and 2,505.68

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Solution

The fourth proportional to 8,662.48, 12,995 and 2,505.68 is: 3,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.48 : 12,995 = 2,505.68 : x
  2. Step 2: Convert to fraction form
    8,662.48/12,995 = 2,505.68/x
  3. Step 3: Cross multiply
    8,662.48x = 12,995 × 2,505.68
  4. Step 4: Simplify right side
    8,662.48x = 32,561,311.60
  5. Step 5: Solve for x
    x = 32,561,311.60/8,662.48
  6. Step 6: Final answer
    x = 3,758.89

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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.