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Finding the Fourth Proportional to 15,474.68, 23,180.80 and 7,143.13

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Solution

The fourth proportional to 15,474.68, 23,180.80 and 7,143.13 is: 10,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474.68 : 23,180.80 = 7,143.13 : x
  2. Step 2: Convert to fraction form
    15,474.68/23,180.80 = 7,143.13/x
  3. Step 3: Cross multiply
    15,474.68x = 23,180.80 × 7,143.13
  4. Step 4: Simplify right side
    15,474.68x = 165,583,316.28
  5. Step 5: Solve for x
    x = 165,583,316.28/15,474.68
  6. Step 6: Final answer
    x = 10,700.27

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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.