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Finding the Fourth Proportional to 2,726.52, 4,087.62 and 994.20

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Solution

The fourth proportional to 2,726.52, 4,087.62 and 994.20 is: 1,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.52 : 4,087.62 = 994.20 : x
  2. Step 2: Convert to fraction form
    2,726.52/4,087.62 = 994.20/x
  3. Step 3: Cross multiply
    2,726.52x = 4,087.62 × 994.20
  4. Step 4: Simplify right side
    2,726.52x = 4,063,911.80
  5. Step 5: Solve for x
    x = 4,063,911.80/2,726.52
  6. Step 6: Final answer
    x = 1,490.51

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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.