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Finding the Fourth Proportional to 5,251.90, 7,248 and 2,894.44

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Solution

The fourth proportional to 5,251.90, 7,248 and 2,894.44 is: 3,994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.90 : 7,248 = 2,894.44 : x
  2. Step 2: Convert to fraction form
    5,251.90/7,248 = 2,894.44/x
  3. Step 3: Cross multiply
    5,251.90x = 7,248 × 2,894.44
  4. Step 4: Simplify right side
    5,251.90x = 20,978,901.12
  5. Step 5: Solve for x
    x = 20,978,901.12/5,251.90
  6. Step 6: Final answer
    x = 3,994.54

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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.