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Finding the Fourth Proportional to 6,663, 9,989.80 and 2,963.20

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Solution

The fourth proportional to 6,663, 9,989.80 and 2,963.20 is: 4,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663 : 9,989.80 = 2,963.20 : x
  2. Step 2: Convert to fraction form
    6,663/9,989.80 = 2,963.20/x
  3. Step 3: Cross multiply
    6,663x = 9,989.80 × 2,963.20
  4. Step 4: Simplify right side
    6,663x = 29,601,775.36
  5. Step 5: Solve for x
    x = 29,601,775.36/6,663
  6. Step 6: Final answer
    x = 4,442.71

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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.