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Finding the Fourth Proportional to 20,564.88, 30,847.31 and 6,713.88

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Solution

The fourth proportional to 20,564.88, 30,847.31 and 6,713.88 is: 10,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.88 : 30,847.31 = 6,713.88 : x
  2. Step 2: Convert to fraction form
    20,564.88/30,847.31 = 6,713.88/x
  3. Step 3: Cross multiply
    20,564.88x = 30,847.31 × 6,713.88
  4. Step 4: Simplify right side
    20,564.88x = 207,105,137.66
  5. Step 5: Solve for x
    x = 207,105,137.66/20,564.88
  6. Step 6: Final answer
    x = 10,070.82

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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.