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Finding the Fourth Proportional to 2,139.11, 3,209.02 and 678.61

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Solution

The fourth proportional to 2,139.11, 3,209.02 and 678.61 is: 1,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.11 : 3,209.02 = 678.61 : x
  2. Step 2: Convert to fraction form
    2,139.11/3,209.02 = 678.61/x
  3. Step 3: Cross multiply
    2,139.11x = 3,209.02 × 678.61
  4. Step 4: Simplify right side
    2,139.11x = 2,177,675.38
  5. Step 5: Solve for x
    x = 2,177,675.38/2,139.11
  6. Step 6: Final answer
    x = 1,018.03

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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.