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Finding the Fourth Proportional to 15,813.80, 23,721.11 and 7,491.86

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Solution

The fourth proportional to 15,813.80, 23,721.11 and 7,491.86 is: 11,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.80 : 23,721.11 = 7,491.86 : x
  2. Step 2: Convert to fraction form
    15,813.80/23,721.11 = 7,491.86/x
  3. Step 3: Cross multiply
    15,813.80x = 23,721.11 × 7,491.86
  4. Step 4: Simplify right side
    15,813.80x = 177,715,235.16
  5. Step 5: Solve for x
    x = 177,715,235.16/15,813.80
  6. Step 6: Final answer
    x = 11,237.98

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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.