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Finding the Fourth Proportional to 20,780.64, 28,655.46 and 13,698

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Solution

The fourth proportional to 20,780.64, 28,655.46 and 13,698 is: 18,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780.64 : 28,655.46 = 13,698 : x
  2. Step 2: Convert to fraction form
    20,780.64/28,655.46 = 13,698/x
  3. Step 3: Cross multiply
    20,780.64x = 28,655.46 × 13,698
  4. Step 4: Simplify right side
    20,780.64x = 392,522,491.08
  5. Step 5: Solve for x
    x = 392,522,491.08/20,780.64
  6. Step 6: Final answer
    x = 18,888.85

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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.