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Finding the Fourth Proportional to 3,915.88, 5,404 and 2,147.50

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Solution

The fourth proportional to 3,915.88, 5,404 and 2,147.50 is: 2,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.88 : 5,404 = 2,147.50 : x
  2. Step 2: Convert to fraction form
    3,915.88/5,404 = 2,147.50/x
  3. Step 3: Cross multiply
    3,915.88x = 5,404 × 2,147.50
  4. Step 4: Simplify right side
    3,915.88x = 11,605,090
  5. Step 5: Solve for x
    x = 11,605,090/3,915.88
  6. Step 6: Final answer
    x = 2,963.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.