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Finding the Fourth Proportional to 2,652.42, 3,978.84 and 803.36

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Solution

The fourth proportional to 2,652.42, 3,978.84 and 803.36 is: 1,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.42 : 3,978.84 = 803.36 : x
  2. Step 2: Convert to fraction form
    2,652.42/3,978.84 = 803.36/x
  3. Step 3: Cross multiply
    2,652.42x = 3,978.84 × 803.36
  4. Step 4: Simplify right side
    2,652.42x = 3,196,440.90
  5. Step 5: Solve for x
    x = 3,196,440.90/2,652.42
  6. Step 6: Final answer
    x = 1,205.10

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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.