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Finding the Fourth Proportional to 2,310.12, 3,464.94 and 771.24

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Solution

The fourth proportional to 2,310.12, 3,464.94 and 771.24 is: 1,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.12 : 3,464.94 = 771.24 : x
  2. Step 2: Convert to fraction form
    2,310.12/3,464.94 = 771.24/x
  3. Step 3: Cross multiply
    2,310.12x = 3,464.94 × 771.24
  4. Step 4: Simplify right side
    2,310.12x = 2,672,300.33
  5. Step 5: Solve for x
    x = 2,672,300.33/2,310.12
  6. Step 6: Final answer
    x = 1,156.78

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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.