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Finding the Fourth Proportional to 1,772.71, 2,661.19 and 1,180.19

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Solution

The fourth proportional to 1,772.71, 2,661.19 and 1,180.19 is: 1,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.71 : 2,661.19 = 1,180.19 : x
  2. Step 2: Convert to fraction form
    1,772.71/2,661.19 = 1,180.19/x
  3. Step 3: Cross multiply
    1,772.71x = 2,661.19 × 1,180.19
  4. Step 4: Simplify right side
    1,772.71x = 3,140,713.53
  5. Step 5: Solve for x
    x = 3,140,713.53/1,772.71
  6. Step 6: Final answer
    x = 1,771.70

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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.