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Finding the Fourth Proportional to 2,139.13, 3,208.88 and 678.43

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Solution

The fourth proportional to 2,139.13, 3,208.88 and 678.43 is: 1,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.13 : 3,208.88 = 678.43 : x
  2. Step 2: Convert to fraction form
    2,139.13/3,208.88 = 678.43/x
  3. Step 3: Cross multiply
    2,139.13x = 3,208.88 × 678.43
  4. Step 4: Simplify right side
    2,139.13x = 2,177,000.46
  5. Step 5: Solve for x
    x = 2,177,000.46/2,139.13
  6. Step 6: Final answer
    x = 1,017.70

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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.