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Finding the Fourth Proportional to 2,039.65, 3,058.35 and 652.60

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Solution

The fourth proportional to 2,039.65, 3,058.35 and 652.60 is: 978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.65 : 3,058.35 = 652.60 : x
  2. Step 2: Convert to fraction form
    2,039.65/3,058.35 = 652.60/x
  3. Step 3: Cross multiply
    2,039.65x = 3,058.35 × 652.60
  4. Step 4: Simplify right side
    2,039.65x = 1,995,879.21
  5. Step 5: Solve for x
    x = 1,995,879.21/2,039.65
  6. Step 6: Final answer
    x = 978.54

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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.