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Finding the Fourth Proportional to 2,652.52, 3,977.34 and 803.08

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Solution

The fourth proportional to 2,652.52, 3,977.34 and 803.08 is: 1,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.52 : 3,977.34 = 803.08 : x
  2. Step 2: Convert to fraction form
    2,652.52/3,977.34 = 803.08/x
  3. Step 3: Cross multiply
    2,652.52x = 3,977.34 × 803.08
  4. Step 4: Simplify right side
    2,652.52x = 3,194,122.21
  5. Step 5: Solve for x
    x = 3,194,122.21/2,652.52
  6. Step 6: Final answer
    x = 1,204.18

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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.