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Finding the Fourth Proportional to 10,614.76, 15,922.78 and 3,219.28

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Solution

The fourth proportional to 10,614.76, 15,922.78 and 3,219.28 is: 4,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.76 : 15,922.78 = 3,219.28 : x
  2. Step 2: Convert to fraction form
    10,614.76/15,922.78 = 3,219.28/x
  3. Step 3: Cross multiply
    10,614.76x = 15,922.78 × 3,219.28
  4. Step 4: Simplify right side
    10,614.76x = 51,259,839.34
  5. Step 5: Solve for x
    x = 51,259,839.34/10,614.76
  6. Step 6: Final answer
    x = 4,829.11

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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.