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Finding the Fourth Proportional to 10,173.47, 15,192.33 and 7,957.31

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Solution

The fourth proportional to 10,173.47, 15,192.33 and 7,957.31 is: 11,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.47 : 15,192.33 = 7,957.31 : x
  2. Step 2: Convert to fraction form
    10,173.47/15,192.33 = 7,957.31/x
  3. Step 3: Cross multiply
    10,173.47x = 15,192.33 × 7,957.31
  4. Step 4: Simplify right side
    10,173.47x = 120,890,039.65
  5. Step 5: Solve for x
    x = 120,890,039.65/10,173.47
  6. Step 6: Final answer
    x = 11,882.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.