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Finding the Fourth Proportional to 2,661.64, 3,988.86 and 2,084.68

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Solution

The fourth proportional to 2,661.64, 3,988.86 and 2,084.68 is: 3,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.64 : 3,988.86 = 2,084.68 : x
  2. Step 2: Convert to fraction form
    2,661.64/3,988.86 = 2,084.68/x
  3. Step 3: Cross multiply
    2,661.64x = 3,988.86 × 2,084.68
  4. Step 4: Simplify right side
    2,661.64x = 8,315,496.66
  5. Step 5: Solve for x
    x = 8,315,496.66/2,661.64
  6. Step 6: Final answer
    x = 3,124.20

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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.