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Finding the Fourth Proportional to 2,761.72, 3,806.74 and 1,865.17

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Solution

The fourth proportional to 2,761.72, 3,806.74 and 1,865.17 is: 2,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.72 : 3,806.74 = 1,865.17 : x
  2. Step 2: Convert to fraction form
    2,761.72/3,806.74 = 1,865.17/x
  3. Step 3: Cross multiply
    2,761.72x = 3,806.74 × 1,865.17
  4. Step 4: Simplify right side
    2,761.72x = 7,100,204.71
  5. Step 5: Solve for x
    x = 7,100,204.71/2,761.72
  6. Step 6: Final answer
    x = 2,570.94

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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.