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Finding the Fourth Proportional to 2,661.81, 3,989.07 and 1,686.18

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Solution

The fourth proportional to 2,661.81, 3,989.07 and 1,686.18 is: 2,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.81 : 3,989.07 = 1,686.18 : x
  2. Step 2: Convert to fraction form
    2,661.81/3,989.07 = 1,686.18/x
  3. Step 3: Cross multiply
    2,661.81x = 3,989.07 × 1,686.18
  4. Step 4: Simplify right side
    2,661.81x = 6,726,290.05
  5. Step 5: Solve for x
    x = 6,726,290.05/2,661.81
  6. Step 6: Final answer
    x = 2,526.96

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1.5x scale

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.