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Finding the Fourth Proportional to 3,138.40, 4,700.40 and 1,842.40

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Solution

The fourth proportional to 3,138.40, 4,700.40 and 1,842.40 is: 2,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.40 : 4,700.40 = 1,842.40 : x
  2. Step 2: Convert to fraction form
    3,138.40/4,700.40 = 1,842.40/x
  3. Step 3: Cross multiply
    3,138.40x = 4,700.40 × 1,842.40
  4. Step 4: Simplify right side
    3,138.40x = 8,660,016.96
  5. Step 5: Solve for x
    x = 8,660,016.96/3,138.40
  6. Step 6: Final answer
    x = 2,759.37

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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.