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Finding the Fourth Proportional to 8,489.59, 12,715.93 and 5,192.71

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Solution

The fourth proportional to 8,489.59, 12,715.93 and 5,192.71 is: 7,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.59 : 12,715.93 = 5,192.71 : x
  2. Step 2: Convert to fraction form
    8,489.59/12,715.93 = 5,192.71/x
  3. Step 3: Cross multiply
    8,489.59x = 12,715.93 × 5,192.71
  4. Step 4: Simplify right side
    8,489.59x = 66,030,136.87
  5. Step 5: Solve for x
    x = 66,030,136.87/8,489.59
  6. Step 6: Final answer
    x = 7,777.78

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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.