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Finding the Fourth Proportional to 1,502.09, 2,074.08 and 998.42

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Solution

The fourth proportional to 1,502.09, 2,074.08 and 998.42 is: 1,378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.09 : 2,074.08 = 998.42 : x
  2. Step 2: Convert to fraction form
    1,502.09/2,074.08 = 998.42/x
  3. Step 3: Cross multiply
    1,502.09x = 2,074.08 × 998.42
  4. Step 4: Simplify right side
    1,502.09x = 2,070,792.58
  5. Step 5: Solve for x
    x = 2,070,792.58/1,502.09
  6. Step 6: Final answer
    x = 1,378.61

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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.