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Finding the Fourth Proportional to 3,180.72, 4,387.02 and 3,041.12

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Solution

The fourth proportional to 3,180.72, 4,387.02 and 3,041.12 is: 4,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.72 : 4,387.02 = 3,041.12 : x
  2. Step 2: Convert to fraction form
    3,180.72/4,387.02 = 3,041.12/x
  3. Step 3: Cross multiply
    3,180.72x = 4,387.02 × 3,041.12
  4. Step 4: Simplify right side
    3,180.72x = 13,341,454.26
  5. Step 5: Solve for x
    x = 13,341,454.26/3,180.72
  6. Step 6: Final answer
    x = 4,194.48

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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.