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Finding the Fourth Proportional to 11,760.80, 17,641.20 and 9,165.68

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Solution

The fourth proportional to 11,760.80, 17,641.20 and 9,165.68 is: 13,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.80 : 17,641.20 = 9,165.68 : x
  2. Step 2: Convert to fraction form
    11,760.80/17,641.20 = 9,165.68/x
  3. Step 3: Cross multiply
    11,760.80x = 17,641.20 × 9,165.68
  4. Step 4: Simplify right side
    11,760.80x = 161,693,594.02
  5. Step 5: Solve for x
    x = 161,693,594.02/11,760.80
  6. Step 6: Final answer
    x = 13,748.52

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Similar ratio
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1.5x scale

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.