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Finding the Fourth Proportional to 3,156.68, 4,735.68 and 1,076.54

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Solution

The fourth proportional to 3,156.68, 4,735.68 and 1,076.54 is: 1,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.68 : 4,735.68 = 1,076.54 : x
  2. Step 2: Convert to fraction form
    3,156.68/4,735.68 = 1,076.54/x
  3. Step 3: Cross multiply
    3,156.68x = 4,735.68 × 1,076.54
  4. Step 4: Simplify right side
    3,156.68x = 5,098,148.95
  5. Step 5: Solve for x
    x = 5,098,148.95/3,156.68
  6. Step 6: Final answer
    x = 1,615.04

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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.