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Finding the Fourth Proportional to 2,666, 4,000.44 and 1,298

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Solution

The fourth proportional to 2,666, 4,000.44 and 1,298 is: 1,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666 : 4,000.44 = 1,298 : x
  2. Step 2: Convert to fraction form
    2,666/4,000.44 = 1,298/x
  3. Step 3: Cross multiply
    2,666x = 4,000.44 × 1,298
  4. Step 4: Simplify right side
    2,666x = 5,192,571.12
  5. Step 5: Solve for x
    x = 5,192,571.12/2,666
  6. Step 6: Final answer
    x = 1,947.70

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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.