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Finding the Fourth Proportional to 4,822.62, 7,236.65 and 2,978.25

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Solution

The fourth proportional to 4,822.62, 7,236.65 and 2,978.25 is: 4,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.62 : 7,236.65 = 2,978.25 : x
  2. Step 2: Convert to fraction form
    4,822.62/7,236.65 = 2,978.25/x
  3. Step 3: Cross multiply
    4,822.62x = 7,236.65 × 2,978.25
  4. Step 4: Simplify right side
    4,822.62x = 21,552,552.86
  5. Step 5: Solve for x
    x = 21,552,552.86/4,822.62
  6. Step 6: Final answer
    x = 4,469.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.