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Finding the Fourth Proportional to 4,139.40, 6,209.10 and 4,042.20

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Solution

The fourth proportional to 4,139.40, 6,209.10 and 4,042.20 is: 6,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.40 : 6,209.10 = 4,042.20 : x
  2. Step 2: Convert to fraction form
    4,139.40/6,209.10 = 4,042.20/x
  3. Step 3: Cross multiply
    4,139.40x = 6,209.10 × 4,042.20
  4. Step 4: Simplify right side
    4,139.40x = 25,098,424.02
  5. Step 5: Solve for x
    x = 25,098,424.02/4,139.40
  6. Step 6: Final answer
    x = 6,063.30

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1.5x scale

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.