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Finding the Fourth Proportional to 15,811.80, 23,718.11 and 7,489.86

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Solution

The fourth proportional to 15,811.80, 23,718.11 and 7,489.86 is: 11,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.80 : 23,718.11 = 7,489.86 : x
  2. Step 2: Convert to fraction form
    15,811.80/23,718.11 = 7,489.86/x
  3. Step 3: Cross multiply
    15,811.80x = 23,718.11 × 7,489.86
  4. Step 4: Simplify right side
    15,811.80x = 177,645,323.36
  5. Step 5: Solve for x
    x = 177,645,323.36/15,811.80
  6. Step 6: Final answer
    x = 11,234.98

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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.