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Finding the Fourth Proportional to 8,740.80, 13,116 and 4,123.68

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Solution

The fourth proportional to 8,740.80, 13,116 and 4,123.68 is: 6,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.80 : 13,116 = 4,123.68 : x
  2. Step 2: Convert to fraction form
    8,740.80/13,116 = 4,123.68/x
  3. Step 3: Cross multiply
    8,740.80x = 13,116 × 4,123.68
  4. Step 4: Simplify right side
    8,740.80x = 54,086,186.88
  5. Step 5: Solve for x
    x = 54,086,186.88/8,740.80
  6. Step 6: Final answer
    x = 6,187.78

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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.