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Finding the Fourth Proportional to 2,039.10, 3,058.68 and 652.43

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Solution

The fourth proportional to 2,039.10, 3,058.68 and 652.43 is: 978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.10 : 3,058.68 = 652.43 : x
  2. Step 2: Convert to fraction form
    2,039.10/3,058.68 = 652.43/x
  3. Step 3: Cross multiply
    2,039.10x = 3,058.68 × 652.43
  4. Step 4: Simplify right side
    2,039.10x = 1,995,559.30
  5. Step 5: Solve for x
    x = 1,995,559.30/2,039.10
  6. Step 6: Final answer
    x = 978.65

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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.