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Finding the Fourth Proportional to 1,471.20, 2,209.84 and 1,422

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Solution

The fourth proportional to 1,471.20, 2,209.84 and 1,422 is: 2,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.20 : 2,209.84 = 1,422 : x
  2. Step 2: Convert to fraction form
    1,471.20/2,209.84 = 1,422/x
  3. Step 3: Cross multiply
    1,471.20x = 2,209.84 × 1,422
  4. Step 4: Simplify right side
    1,471.20x = 3,142,392.48
  5. Step 5: Solve for x
    x = 3,142,392.48/1,471.20
  6. Step 6: Final answer
    x = 2,135.94

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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.