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Finding the Fourth Proportional to 11,659.88, 17,489.68 and 6,981.19

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Solution

The fourth proportional to 11,659.88, 17,489.68 and 6,981.19 is: 10,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.88 : 17,489.68 = 6,981.19 : x
  2. Step 2: Convert to fraction form
    11,659.88/17,489.68 = 6,981.19/x
  3. Step 3: Cross multiply
    11,659.88x = 17,489.68 × 6,981.19
  4. Step 4: Simplify right side
    11,659.88x = 122,098,779.12
  5. Step 5: Solve for x
    x = 122,098,779.12/11,659.88
  6. Step 6: Final answer
    x = 10,471.70

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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.