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Finding the Fourth Proportional to 11,418, 15,759 and 6,450

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Solution

The fourth proportional to 11,418, 15,759 and 6,450 is: 8,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418 : 15,759 = 6,450 : x
  2. Step 2: Convert to fraction form
    11,418/15,759 = 6,450/x
  3. Step 3: Cross multiply
    11,418x = 15,759 × 6,450
  4. Step 4: Simplify right side
    11,418x = 101,645,550
  5. Step 5: Solve for x
    x = 101,645,550/11,418
  6. Step 6: Final answer
    x = 8,902.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.