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Finding the Fourth Proportional to 10,638, 14,680.32 and 6,161.76

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Solution

The fourth proportional to 10,638, 14,680.32 and 6,161.76 is: 8,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638 : 14,680.32 = 6,161.76 : x
  2. Step 2: Convert to fraction form
    10,638/14,680.32 = 6,161.76/x
  3. Step 3: Cross multiply
    10,638x = 14,680.32 × 6,161.76
  4. Step 4: Simplify right side
    10,638x = 90,456,608.56
  5. Step 5: Solve for x
    x = 90,456,608.56/10,638
  6. Step 6: Final answer
    x = 8,503.16

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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.