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Finding the Fourth Proportional to 2,151.97, 3,227.14 and 918.74

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Solution

The fourth proportional to 2,151.97, 3,227.14 and 918.74 is: 1,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.97 : 3,227.14 = 918.74 : x
  2. Step 2: Convert to fraction form
    2,151.97/3,227.14 = 918.74/x
  3. Step 3: Cross multiply
    2,151.97x = 3,227.14 × 918.74
  4. Step 4: Simplify right side
    2,151.97x = 2,964,911.82
  5. Step 5: Solve for x
    x = 2,964,911.82/2,151.97
  6. Step 6: Final answer
    x = 1,377.77

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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.