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Finding the Fourth Proportional to 17,685.24, 26,527.68 and 8,319.24

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Solution

The fourth proportional to 17,685.24, 26,527.68 and 8,319.24 is: 12,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.24 : 26,527.68 = 8,319.24 : x
  2. Step 2: Convert to fraction form
    17,685.24/26,527.68 = 8,319.24/x
  3. Step 3: Cross multiply
    17,685.24x = 26,527.68 × 8,319.24
  4. Step 4: Simplify right side
    17,685.24x = 220,690,136.56
  5. Step 5: Solve for x
    x = 220,690,136.56/17,685.24
  6. Step 6: Final answer
    x = 12,478.78

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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.