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Finding the Fourth Proportional to 2,621, 3,616.88 and 1,442

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Solution

The fourth proportional to 2,621, 3,616.88 and 1,442 is: 1,989.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621 : 3,616.88 = 1,442 : x
  2. Step 2: Convert to fraction form
    2,621/3,616.88 = 1,442/x
  3. Step 3: Cross multiply
    2,621x = 3,616.88 × 1,442
  4. Step 4: Simplify right side
    2,621x = 5,215,540.96
  5. Step 5: Solve for x
    x = 5,215,540.96/2,621
  6. Step 6: Final answer
    x = 1,989.90

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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.