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Finding the Fourth Proportional to 3,915.76, 5,403.75 and 2,147.48

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Solution

The fourth proportional to 3,915.76, 5,403.75 and 2,147.48 is: 2,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.76 : 5,403.75 = 2,147.48 : x
  2. Step 2: Convert to fraction form
    3,915.76/5,403.75 = 2,147.48/x
  3. Step 3: Cross multiply
    3,915.76x = 5,403.75 × 2,147.48
  4. Step 4: Simplify right side
    3,915.76x = 11,604,445.05
  5. Step 5: Solve for x
    x = 11,604,445.05/3,915.76
  6. Step 6: Final answer
    x = 2,963.52

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