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Finding the Fourth Proportional to 6,283.31, 9,423 and 2,122.88

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Solution

The fourth proportional to 6,283.31, 9,423 and 2,122.88 is: 3,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.31 : 9,423 = 2,122.88 : x
  2. Step 2: Convert to fraction form
    6,283.31/9,423 = 2,122.88/x
  3. Step 3: Cross multiply
    6,283.31x = 9,423 × 2,122.88
  4. Step 4: Simplify right side
    6,283.31x = 20,003,851.13
  5. Step 5: Solve for x
    x = 20,003,851.13/6,283.31
  6. Step 6: Final answer
    x = 3,183.65

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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.