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Finding the Fourth Proportional to 3,850, 5,775.12 and 1,076.64

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Solution

The fourth proportional to 3,850, 5,775.12 and 1,076.64 is: 1,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850 : 5,775.12 = 1,076.64 : x
  2. Step 2: Convert to fraction form
    3,850/5,775.12 = 1,076.64/x
  3. Step 3: Cross multiply
    3,850x = 5,775.12 × 1,076.64
  4. Step 4: Simplify right side
    3,850x = 6,217,725.20
  5. Step 5: Solve for x
    x = 6,217,725.20/3,850
  6. Step 6: Final answer
    x = 1,614.99

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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.