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Finding the Fourth Proportional to 20,812, 28,720.68 and 13,360

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Solution

The fourth proportional to 20,812, 28,720.68 and 13,360 is: 18,436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812 : 28,720.68 = 13,360 : x
  2. Step 2: Convert to fraction form
    20,812/28,720.68 = 13,360/x
  3. Step 3: Cross multiply
    20,812x = 28,720.68 × 13,360
  4. Step 4: Simplify right side
    20,812x = 383,708,284.80
  5. Step 5: Solve for x
    x = 383,708,284.80/20,812
  6. Step 6: Final answer
    x = 18,436.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.