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Finding the Fourth Proportional to 15,831.09, 23,750.24 and 8,431.65

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Solution

The fourth proportional to 15,831.09, 23,750.24 and 8,431.65 is: 12,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.09 : 23,750.24 = 8,431.65 : x
  2. Step 2: Convert to fraction form
    15,831.09/23,750.24 = 8,431.65/x
  3. Step 3: Cross multiply
    15,831.09x = 23,750.24 × 8,431.65
  4. Step 4: Simplify right side
    15,831.09x = 200,253,668.94
  5. Step 5: Solve for x
    x = 200,253,668.94/15,831.09
  6. Step 6: Final answer
    x = 12,649.39

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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.