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Finding the Fourth Proportional to 3,718.40, 5,578.82 and 2,899.49

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Solution

The fourth proportional to 3,718.40, 5,578.82 and 2,899.49 is: 4,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.40 : 5,578.82 = 2,899.49 : x
  2. Step 2: Convert to fraction form
    3,718.40/5,578.82 = 2,899.49/x
  3. Step 3: Cross multiply
    3,718.40x = 5,578.82 × 2,899.49
  4. Step 4: Simplify right side
    3,718.40x = 16,175,743.12
  5. Step 5: Solve for x
    x = 16,175,743.12/3,718.40
  6. Step 6: Final answer
    x = 4,350.19

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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.