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Finding the Fourth Proportional to 1,661.81, 2,492.72 and 1,447.97

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Solution

The fourth proportional to 1,661.81, 2,492.72 and 1,447.97 is: 2,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.81 : 2,492.72 = 1,447.97 : x
  2. Step 2: Convert to fraction form
    1,661.81/2,492.72 = 1,447.97/x
  3. Step 3: Cross multiply
    1,661.81x = 2,492.72 × 1,447.97
  4. Step 4: Simplify right side
    1,661.81x = 3,609,383.78
  5. Step 5: Solve for x
    x = 3,609,383.78/1,661.81
  6. Step 6: Final answer
    x = 2,171.96

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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.