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Finding the Fourth Proportional to 2,765.64, 4,150.20 and 1,122.20

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Solution

The fourth proportional to 2,765.64, 4,150.20 and 1,122.20 is: 1,684.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.64 : 4,150.20 = 1,122.20 : x
  2. Step 2: Convert to fraction form
    2,765.64/4,150.20 = 1,122.20/x
  3. Step 3: Cross multiply
    2,765.64x = 4,150.20 × 1,122.20
  4. Step 4: Simplify right side
    2,765.64x = 4,657,354.44
  5. Step 5: Solve for x
    x = 4,657,354.44/2,765.64
  6. Step 6: Final answer
    x = 1,684.01

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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.