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Finding the Fourth Proportional to 4,747.64, 7,121.52 and 3,104.96

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Solution

The fourth proportional to 4,747.64, 7,121.52 and 3,104.96 is: 4,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.64 : 7,121.52 = 3,104.96 : x
  2. Step 2: Convert to fraction form
    4,747.64/7,121.52 = 3,104.96/x
  3. Step 3: Cross multiply
    4,747.64x = 7,121.52 × 3,104.96
  4. Step 4: Simplify right side
    4,747.64x = 22,112,034.74
  5. Step 5: Solve for x
    x = 22,112,034.74/4,747.64
  6. Step 6: Final answer
    x = 4,657.48

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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.