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Finding the Fourth Proportional to 2,868, 3,958.08 and 1,626.24

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Solution

The fourth proportional to 2,868, 3,958.08 and 1,626.24 is: 2,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868 : 3,958.08 = 1,626.24 : x
  2. Step 2: Convert to fraction form
    2,868/3,958.08 = 1,626.24/x
  3. Step 3: Cross multiply
    2,868x = 3,958.08 × 1,626.24
  4. Step 4: Simplify right side
    2,868x = 6,436,788.02
  5. Step 5: Solve for x
    x = 6,436,788.02/2,868
  6. Step 6: Final answer
    x = 2,244.35

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Why These Related Problems?

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