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Finding the Fourth Proportional to 2,695.96, 3,720.46 and 1,576.64

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Solution

The fourth proportional to 2,695.96, 3,720.46 and 1,576.64 is: 2,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.96 : 3,720.46 = 1,576.64 : x
  2. Step 2: Convert to fraction form
    2,695.96/3,720.46 = 1,576.64/x
  3. Step 3: Cross multiply
    2,695.96x = 3,720.46 × 1,576.64
  4. Step 4: Simplify right side
    2,695.96x = 5,865,826.05
  5. Step 5: Solve for x
    x = 5,865,826.05/2,695.96
  6. Step 6: Final answer
    x = 2,175.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.