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Finding the Fourth Proportional to 20,704.80, 31,068 and 19,589.52

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Solution

The fourth proportional to 20,704.80, 31,068 and 19,589.52 is: 29,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.80 : 31,068 = 19,589.52 : x
  2. Step 2: Convert to fraction form
    20,704.80/31,068 = 19,589.52/x
  3. Step 3: Cross multiply
    20,704.80x = 31,068 × 19,589.52
  4. Step 4: Simplify right side
    20,704.80x = 608,607,207.36
  5. Step 5: Solve for x
    x = 608,607,207.36/20,704.80
  6. Step 6: Final answer
    x = 29,394.50

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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.