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Finding the Fourth Proportional to 10,581.75, 15,876.18 and 7,422.48

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Solution

The fourth proportional to 10,581.75, 15,876.18 and 7,422.48 is: 11,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.75 : 15,876.18 = 7,422.48 : x
  2. Step 2: Convert to fraction form
    10,581.75/15,876.18 = 7,422.48/x
  3. Step 3: Cross multiply
    10,581.75x = 15,876.18 × 7,422.48
  4. Step 4: Simplify right side
    10,581.75x = 117,840,628.53
  5. Step 5: Solve for x
    x = 117,840,628.53/10,581.75
  6. Step 6: Final answer
    x = 11,136.21

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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.