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Finding the Fourth Proportional to 3,943.89, 5,915.43 and 1,347.03

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Solution

The fourth proportional to 3,943.89, 5,915.43 and 1,347.03 is: 2,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.89 : 5,915.43 = 1,347.03 : x
  2. Step 2: Convert to fraction form
    3,943.89/5,915.43 = 1,347.03/x
  3. Step 3: Cross multiply
    3,943.89x = 5,915.43 × 1,347.03
  4. Step 4: Simplify right side
    3,943.89x = 7,968,261.67
  5. Step 5: Solve for x
    x = 7,968,261.67/3,943.89
  6. Step 6: Final answer
    x = 2,020.41

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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.