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Finding the Fourth Proportional to 6,644.16, 9,963.14 and 3,871.53

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Solution

The fourth proportional to 6,644.16, 9,963.14 and 3,871.53 is: 5,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.16 : 9,963.14 = 3,871.53 : x
  2. Step 2: Convert to fraction form
    6,644.16/9,963.14 = 3,871.53/x
  3. Step 3: Cross multiply
    6,644.16x = 9,963.14 × 3,871.53
  4. Step 4: Simplify right side
    6,644.16x = 38,572,576.05
  5. Step 5: Solve for x
    x = 38,572,576.05/6,644.16
  6. Step 6: Final answer
    x = 5,805.49

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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.