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Finding the Fourth Proportional to 3,542.72, 4,881.18 and 2,642.66

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Solution

The fourth proportional to 3,542.72, 4,881.18 and 2,642.66 is: 3,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.72 : 4,881.18 = 2,642.66 : x
  2. Step 2: Convert to fraction form
    3,542.72/4,881.18 = 2,642.66/x
  3. Step 3: Cross multiply
    3,542.72x = 4,881.18 × 2,642.66
  4. Step 4: Simplify right side
    3,542.72x = 12,899,299.14
  5. Step 5: Solve for x
    x = 12,899,299.14/3,542.72
  6. Step 6: Final answer
    x = 3,641.07

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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.