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Finding the Fourth Proportional to 4,508, 6,222.14 and 2,740.78

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Solution

The fourth proportional to 4,508, 6,222.14 and 2,740.78 is: 3,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508 : 6,222.14 = 2,740.78 : x
  2. Step 2: Convert to fraction form
    4,508/6,222.14 = 2,740.78/x
  3. Step 3: Cross multiply
    4,508x = 6,222.14 × 2,740.78
  4. Step 4: Simplify right side
    4,508x = 17,053,516.87
  5. Step 5: Solve for x
    x = 17,053,516.87/4,508
  6. Step 6: Final answer
    x = 3,782.95

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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.