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Finding the Fourth Proportional to 3,149.64, 4,722.78 and 3,015

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Solution

The fourth proportional to 3,149.64, 4,722.78 and 3,015 is: 4,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.64 : 4,722.78 = 3,015 : x
  2. Step 2: Convert to fraction form
    3,149.64/4,722.78 = 3,015/x
  3. Step 3: Cross multiply
    3,149.64x = 4,722.78 × 3,015
  4. Step 4: Simplify right side
    3,149.64x = 14,239,181.70
  5. Step 5: Solve for x
    x = 14,239,181.70/3,149.64
  6. Step 6: Final answer
    x = 4,520.89

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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.