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Finding the Fourth Proportional to 20,594, 30,891.27 and 6,743

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Solution

The fourth proportional to 20,594, 30,891.27 and 6,743 is: 10,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594 : 30,891.27 = 6,743 : x
  2. Step 2: Convert to fraction form
    20,594/30,891.27 = 6,743/x
  3. Step 3: Cross multiply
    20,594x = 30,891.27 × 6,743
  4. Step 4: Simplify right side
    20,594x = 208,299,833.61
  5. Step 5: Solve for x
    x = 208,299,833.61/20,594
  6. Step 6: Final answer
    x = 10,114.59

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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.