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Finding the Fourth Proportional to 2,757.78, 3,806.26 and 1,763.47

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Solution

The fourth proportional to 2,757.78, 3,806.26 and 1,763.47 is: 2,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.78 : 3,806.26 = 1,763.47 : x
  2. Step 2: Convert to fraction form
    2,757.78/3,806.26 = 1,763.47/x
  3. Step 3: Cross multiply
    2,757.78x = 3,806.26 × 1,763.47
  4. Step 4: Simplify right side
    2,757.78x = 6,712,225.67
  5. Step 5: Solve for x
    x = 6,712,225.67/2,757.78
  6. Step 6: Final answer
    x = 2,433.92

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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.