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Finding the Fourth Proportional to 2,891.73, 3,989.61 and 1,882.98

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Solution

The fourth proportional to 2,891.73, 3,989.61 and 1,882.98 is: 2,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.73 : 3,989.61 = 1,882.98 : x
  2. Step 2: Convert to fraction form
    2,891.73/3,989.61 = 1,882.98/x
  3. Step 3: Cross multiply
    2,891.73x = 3,989.61 × 1,882.98
  4. Step 4: Simplify right side
    2,891.73x = 7,512,326.47
  5. Step 5: Solve for x
    x = 7,512,326.47/2,891.73
  6. Step 6: Final answer
    x = 2,597.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.