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Finding the Fourth Proportional to 2,760.72, 3,806.64 and 2,261.76

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Solution

The fourth proportional to 2,760.72, 3,806.64 and 2,261.76 is: 3,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.72 : 3,806.64 = 2,261.76 : x
  2. Step 2: Convert to fraction form
    2,760.72/3,806.64 = 2,261.76/x
  3. Step 3: Cross multiply
    2,760.72x = 3,806.64 × 2,261.76
  4. Step 4: Simplify right side
    2,760.72x = 8,609,706.09
  5. Step 5: Solve for x
    x = 8,609,706.09/2,760.72
  6. Step 6: Final answer
    x = 3,118.65

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1.5x scale

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.