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Finding the Fourth Proportional to 6,377.44, 9,563.28 and 2,478.88

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Solution

The fourth proportional to 6,377.44, 9,563.28 and 2,478.88 is: 3,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.44 : 9,563.28 = 2,478.88 : x
  2. Step 2: Convert to fraction form
    6,377.44/9,563.28 = 2,478.88/x
  3. Step 3: Cross multiply
    6,377.44x = 9,563.28 × 2,478.88
  4. Step 4: Simplify right side
    6,377.44x = 23,706,223.53
  5. Step 5: Solve for x
    x = 23,706,223.53/6,377.44
  6. Step 6: Final answer
    x = 3,717.20

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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.