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Finding the Fourth Proportional to 15,121.92, 22,679.40 and 5,763

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Solution

The fourth proportional to 15,121.92, 22,679.40 and 5,763 is: 8,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.92 : 22,679.40 = 5,763 : x
  2. Step 2: Convert to fraction form
    15,121.92/22,679.40 = 5,763/x
  3. Step 3: Cross multiply
    15,121.92x = 22,679.40 × 5,763
  4. Step 4: Simplify right side
    15,121.92x = 130,701,382.20
  5. Step 5: Solve for x
    x = 130,701,382.20/15,121.92
  6. Step 6: Final answer
    x = 8,643.17

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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.