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Finding the Fourth Proportional to 20,476.88, 30,701.06 and 9,072.61

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Solution

The fourth proportional to 20,476.88, 30,701.06 and 9,072.61 is: 13,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.88 : 30,701.06 = 9,072.61 : x
  2. Step 2: Convert to fraction form
    20,476.88/30,701.06 = 9,072.61/x
  3. Step 3: Cross multiply
    20,476.88x = 30,701.06 × 9,072.61
  4. Step 4: Simplify right side
    20,476.88x = 278,538,743.97
  5. Step 5: Solve for x
    x = 278,538,743.97/20,476.88
  6. Step 6: Final answer
    x = 13,602.60

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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.