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Finding the Fourth Proportional to 3,171.80, 4,377.09 and 1,774.55

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Solution

The fourth proportional to 3,171.80, 4,377.09 and 1,774.55 is: 2,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.80 : 4,377.09 = 1,774.55 : x
  2. Step 2: Convert to fraction form
    3,171.80/4,377.09 = 1,774.55/x
  3. Step 3: Cross multiply
    3,171.80x = 4,377.09 × 1,774.55
  4. Step 4: Simplify right side
    3,171.80x = 7,767,343.17
  5. Step 5: Solve for x
    x = 7,767,343.17/3,171.80
  6. Step 6: Final answer
    x = 2,448.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.