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Finding the Fourth Proportional to 2,991.32, 4,478.64 and 2,761.64

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Solution

The fourth proportional to 2,991.32, 4,478.64 and 2,761.64 is: 4,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.32 : 4,478.64 = 2,761.64 : x
  2. Step 2: Convert to fraction form
    2,991.32/4,478.64 = 2,761.64/x
  3. Step 3: Cross multiply
    2,991.32x = 4,478.64 × 2,761.64
  4. Step 4: Simplify right side
    2,991.32x = 12,368,391.37
  5. Step 5: Solve for x
    x = 12,368,391.37/2,991.32
  6. Step 6: Final answer
    x = 4,134.76

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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.