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Finding the Fourth Proportional to 4,540, 6,263.76 and 2,770.72

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Solution

The fourth proportional to 4,540, 6,263.76 and 2,770.72 is: 3,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540 : 6,263.76 = 2,770.72 : x
  2. Step 2: Convert to fraction form
    4,540/6,263.76 = 2,770.72/x
  3. Step 3: Cross multiply
    4,540x = 6,263.76 × 2,770.72
  4. Step 4: Simplify right side
    4,540x = 17,355,125.11
  5. Step 5: Solve for x
    x = 17,355,125.11/4,540
  6. Step 6: Final answer
    x = 3,822.71

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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.