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Finding the Fourth Proportional to 2,660.99, 3,993.08 and 1,017.66

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Solution

The fourth proportional to 2,660.99, 3,993.08 and 1,017.66 is: 1,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.99 : 3,993.08 = 1,017.66 : x
  2. Step 2: Convert to fraction form
    2,660.99/3,993.08 = 1,017.66/x
  3. Step 3: Cross multiply
    2,660.99x = 3,993.08 × 1,017.66
  4. Step 4: Simplify right side
    2,660.99x = 4,063,592.70
  5. Step 5: Solve for x
    x = 4,063,592.70/2,660.99
  6. Step 6: Final answer
    x = 1,527.10

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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.