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Finding the Fourth Proportional to 2,660.09, 3,990.41 and 1,018.02

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Solution

The fourth proportional to 2,660.09, 3,990.41 and 1,018.02 is: 1,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.09 : 3,990.41 = 1,018.02 : x
  2. Step 2: Convert to fraction form
    2,660.09/3,990.41 = 1,018.02/x
  3. Step 3: Cross multiply
    2,660.09x = 3,990.41 × 1,018.02
  4. Step 4: Simplify right side
    2,660.09x = 4,062,315.92
  5. Step 5: Solve for x
    x = 4,062,315.92/2,660.09
  6. Step 6: Final answer
    x = 1,527.13

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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.