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Finding the Fourth Proportional to 2,652.73, 3,979.80 and 803.90

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Solution

The fourth proportional to 2,652.73, 3,979.80 and 803.90 is: 1,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.73 : 3,979.80 = 803.90 : x
  2. Step 2: Convert to fraction form
    2,652.73/3,979.80 = 803.90/x
  3. Step 3: Cross multiply
    2,652.73x = 3,979.80 × 803.90
  4. Step 4: Simplify right side
    2,652.73x = 3,199,371.17
  5. Step 5: Solve for x
    x = 3,199,371.17/2,652.73
  6. Step 6: Final answer
    x = 1,206.07

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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.