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Finding the Fourth Proportional to 2,914.92, 4,368.90 and 1,679.78

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Solution

The fourth proportional to 2,914.92, 4,368.90 and 1,679.78 is: 2,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.92 : 4,368.90 = 1,679.78 : x
  2. Step 2: Convert to fraction form
    2,914.92/4,368.90 = 1,679.78/x
  3. Step 3: Cross multiply
    2,914.92x = 4,368.90 × 1,679.78
  4. Step 4: Simplify right side
    2,914.92x = 7,338,769.00
  5. Step 5: Solve for x
    x = 7,338,769.00/2,914.92
  6. Step 6: Final answer
    x = 2,517.66

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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.