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Finding the Fourth Proportional to 10,614.56, 14,648.18 and 6,638

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Solution

The fourth proportional to 10,614.56, 14,648.18 and 6,638 is: 9,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.56 : 14,648.18 = 6,638 : x
  2. Step 2: Convert to fraction form
    10,614.56/14,648.18 = 6,638/x
  3. Step 3: Cross multiply
    10,614.56x = 14,648.18 × 6,638
  4. Step 4: Simplify right side
    10,614.56x = 97,234,618.84
  5. Step 5: Solve for x
    x = 97,234,618.84/10,614.56
  6. Step 6: Final answer
    x = 9,160.49

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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.