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Finding the Fourth Proportional to 2,074.52, 3,111.78 and 978.60

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Solution

The fourth proportional to 2,074.52, 3,111.78 and 978.60 is: 1,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.52 : 3,111.78 = 978.60 : x
  2. Step 2: Convert to fraction form
    2,074.52/3,111.78 = 978.60/x
  3. Step 3: Cross multiply
    2,074.52x = 3,111.78 × 978.60
  4. Step 4: Simplify right side
    2,074.52x = 3,045,187.91
  5. Step 5: Solve for x
    x = 3,045,187.91/2,074.52
  6. Step 6: Final answer
    x = 1,467.90

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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.