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Finding the Fourth Proportional to 1,998.71, 2,758.97 and 1,502.79

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Solution

The fourth proportional to 1,998.71, 2,758.97 and 1,502.79 is: 2,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.71 : 2,758.97 = 1,502.79 : x
  2. Step 2: Convert to fraction form
    1,998.71/2,758.97 = 1,502.79/x
  3. Step 3: Cross multiply
    1,998.71x = 2,758.97 × 1,502.79
  4. Step 4: Simplify right side
    1,998.71x = 4,146,145.01
  5. Step 5: Solve for x
    x = 4,146,145.01/1,998.71
  6. Step 6: Final answer
    x = 2,074.42

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Double scale
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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.