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Finding the Fourth Proportional to 3,139.40, 4,701.90 and 1,843.40

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Solution

The fourth proportional to 3,139.40, 4,701.90 and 1,843.40 is: 2,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.40 : 4,701.90 = 1,843.40 : x
  2. Step 2: Convert to fraction form
    3,139.40/4,701.90 = 1,843.40/x
  3. Step 3: Cross multiply
    3,139.40x = 4,701.90 × 1,843.40
  4. Step 4: Simplify right side
    3,139.40x = 8,667,482.46
  5. Step 5: Solve for x
    x = 8,667,482.46/3,139.40
  6. Step 6: Final answer
    x = 2,760.87

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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.