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Finding the Fourth Proportional to 20,468.87, 30,684.13 and 18,642.86

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Solution

The fourth proportional to 20,468.87, 30,684.13 and 18,642.86 is: 27,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.87 : 30,684.13 = 18,642.86 : x
  2. Step 2: Convert to fraction form
    20,468.87/30,684.13 = 18,642.86/x
  3. Step 3: Cross multiply
    20,468.87x = 30,684.13 × 18,642.86
  4. Step 4: Simplify right side
    20,468.87x = 572,039,939.81
  5. Step 5: Solve for x
    x = 572,039,939.81/20,468.87
  6. Step 6: Final answer
    x = 27,946.83

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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.