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Finding the Fourth Proportional to 2,621.79, 3,932.69 and 978.75

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Solution

The fourth proportional to 2,621.79, 3,932.69 and 978.75 is: 1,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.79 : 3,932.69 = 978.75 : x
  2. Step 2: Convert to fraction form
    2,621.79/3,932.69 = 978.75/x
  3. Step 3: Cross multiply
    2,621.79x = 3,932.69 × 978.75
  4. Step 4: Simplify right side
    2,621.79x = 3,849,115.44
  5. Step 5: Solve for x
    x = 3,849,115.44/2,621.79
  6. Step 6: Final answer
    x = 1,468.13

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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.