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Finding the Fourth Proportional to 20,713.92, 31,076 and 6,675.12

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Solution

The fourth proportional to 20,713.92, 31,076 and 6,675.12 is: 10,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.92 : 31,076 = 6,675.12 : x
  2. Step 2: Convert to fraction form
    20,713.92/31,076 = 6,675.12/x
  3. Step 3: Cross multiply
    20,713.92x = 31,076 × 6,675.12
  4. Step 4: Simplify right side
    20,713.92x = 207,436,029.12
  5. Step 5: Solve for x
    x = 207,436,029.12/20,713.92
  6. Step 6: Final answer
    x = 10,014.33

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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.