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Finding the Fourth Proportional to 2,660.72, 3,988.17 and 1,016.55

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Solution

The fourth proportional to 2,660.72, 3,988.17 and 1,016.55 is: 1,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.72 : 3,988.17 = 1,016.55 : x
  2. Step 2: Convert to fraction form
    2,660.72/3,988.17 = 1,016.55/x
  3. Step 3: Cross multiply
    2,660.72x = 3,988.17 × 1,016.55
  4. Step 4: Simplify right side
    2,660.72x = 4,054,174.21
  5. Step 5: Solve for x
    x = 4,054,174.21/2,660.72
  6. Step 6: Final answer
    x = 1,523.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.