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Finding the Fourth Proportional to 2,652.57, 3,977.64 and 803.88

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Solution

The fourth proportional to 2,652.57, 3,977.64 and 803.88 is: 1,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.57 : 3,977.64 = 803.88 : x
  2. Step 2: Convert to fraction form
    2,652.57/3,977.64 = 803.88/x
  3. Step 3: Cross multiply
    2,652.57x = 3,977.64 × 803.88
  4. Step 4: Simplify right side
    2,652.57x = 3,197,545.24
  5. Step 5: Solve for x
    x = 3,197,545.24/2,652.57
  6. Step 6: Final answer
    x = 1,205.45

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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.