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Finding the Fourth Proportional to 2,728.88, 4,089.67 and 1,264.80

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Solution

The fourth proportional to 2,728.88, 4,089.67 and 1,264.80 is: 1,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.88 : 4,089.67 = 1,264.80 : x
  2. Step 2: Convert to fraction form
    2,728.88/4,089.67 = 1,264.80/x
  3. Step 3: Cross multiply
    2,728.88x = 4,089.67 × 1,264.80
  4. Step 4: Simplify right side
    2,728.88x = 5,172,614.62
  5. Step 5: Solve for x
    x = 5,172,614.62/2,728.88
  6. Step 6: Final answer
    x = 1,895.51

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1.5x scale

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.