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Finding the Fourth Proportional to 3,138.64, 4,330.86 and 1,741.40

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Solution

The fourth proportional to 3,138.64, 4,330.86 and 1,741.40 is: 2,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.64 : 4,330.86 = 1,741.40 : x
  2. Step 2: Convert to fraction form
    3,138.64/4,330.86 = 1,741.40/x
  3. Step 3: Cross multiply
    3,138.64x = 4,330.86 × 1,741.40
  4. Step 4: Simplify right side
    3,138.64x = 7,541,759.60
  5. Step 5: Solve for x
    x = 7,541,759.60/3,138.64
  6. Step 6: Final answer
    x = 2,402.88

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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.