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Finding the Fourth Proportional to 2,578.80, 3,884.63 and 2,354.63

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Solution

The fourth proportional to 2,578.80, 3,884.63 and 2,354.63 is: 3,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.80 : 3,884.63 = 2,354.63 : x
  2. Step 2: Convert to fraction form
    2,578.80/3,884.63 = 2,354.63/x
  3. Step 3: Cross multiply
    2,578.80x = 3,884.63 × 2,354.63
  4. Step 4: Simplify right side
    2,578.80x = 9,146,881.94
  5. Step 5: Solve for x
    x = 9,146,881.94/2,578.80
  6. Step 6: Final answer
    x = 3,546.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.