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Finding the Fourth Proportional to 10,072, 15,059.92 and 9,189.72

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Solution

The fourth proportional to 10,072, 15,059.92 and 9,189.72 is: 13,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 15,059.92 = 9,189.72 : x
  2. Step 2: Convert to fraction form
    10,072/15,059.92 = 9,189.72/x
  3. Step 3: Cross multiply
    10,072x = 15,059.92 × 9,189.72
  4. Step 4: Simplify right side
    10,072x = 138,396,448.02
  5. Step 5: Solve for x
    x = 138,396,448.02/10,072
  6. Step 6: Final answer
    x = 13,740.71

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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.