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Finding the Fourth Proportional to 2,139.66, 3,209.17 and 1,776.78

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Solution

The fourth proportional to 2,139.66, 3,209.17 and 1,776.78 is: 2,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.66 : 3,209.17 = 1,776.78 : x
  2. Step 2: Convert to fraction form
    2,139.66/3,209.17 = 1,776.78/x
  3. Step 3: Cross multiply
    2,139.66x = 3,209.17 × 1,776.78
  4. Step 4: Simplify right side
    2,139.66x = 5,701,989.07
  5. Step 5: Solve for x
    x = 5,701,989.07/2,139.66
  6. Step 6: Final answer
    x = 2,664.90

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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.