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Finding the Fourth Proportional to 3,729.78, 5,146.21 and 3,134.53

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Solution

The fourth proportional to 3,729.78, 5,146.21 and 3,134.53 is: 4,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.78 : 5,146.21 = 3,134.53 : x
  2. Step 2: Convert to fraction form
    3,729.78/5,146.21 = 3,134.53/x
  3. Step 3: Cross multiply
    3,729.78x = 5,146.21 × 3,134.53
  4. Step 4: Simplify right side
    3,729.78x = 16,130,949.63
  5. Step 5: Solve for x
    x = 16,130,949.63/3,729.78
  6. Step 6: Final answer
    x = 4,324.91

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1.5x scale

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.