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Finding the Fourth Proportional to 3,191.25, 4,400.78 and 3,006.72

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Solution

The fourth proportional to 3,191.25, 4,400.78 and 3,006.72 is: 4,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.25 : 4,400.78 = 3,006.72 : x
  2. Step 2: Convert to fraction form
    3,191.25/4,400.78 = 3,006.72/x
  3. Step 3: Cross multiply
    3,191.25x = 4,400.78 × 3,006.72
  4. Step 4: Simplify right side
    3,191.25x = 13,231,915.12
  5. Step 5: Solve for x
    x = 13,231,915.12/3,191.25
  6. Step 6: Final answer
    x = 4,146.31

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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.