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Finding the Fourth Proportional to 15,444, 23,169.87 and 7,129.83

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Solution

The fourth proportional to 15,444, 23,169.87 and 7,129.83 is: 10,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,444 : 23,169.87 = 7,129.83 : x
  2. Step 2: Convert to fraction form
    15,444/23,169.87 = 7,129.83/x
  3. Step 3: Cross multiply
    15,444x = 23,169.87 × 7,129.83
  4. Step 4: Simplify right side
    15,444x = 165,197,234.22
  5. Step 5: Solve for x
    x = 165,197,234.22/15,444
  6. Step 6: Final answer
    x = 10,696.53

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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.