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Finding the Fourth Proportional to 10,712.74, 16,071.50 and 5,170.73

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Solution

The fourth proportional to 10,712.74, 16,071.50 and 5,170.73 is: 7,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.74 : 16,071.50 = 5,170.73 : x
  2. Step 2: Convert to fraction form
    10,712.74/16,071.50 = 5,170.73/x
  3. Step 3: Cross multiply
    10,712.74x = 16,071.50 × 5,170.73
  4. Step 4: Simplify right side
    10,712.74x = 83,101,387.20
  5. Step 5: Solve for x
    x = 83,101,387.20/10,712.74
  6. Step 6: Final answer
    x = 7,757.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.