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Finding the Fourth Proportional to 4,749.62, 7,124.45 and 2,149.52

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Solution

The fourth proportional to 4,749.62, 7,124.45 and 2,149.52 is: 3,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.62 : 7,124.45 = 2,149.52 : x
  2. Step 2: Convert to fraction form
    4,749.62/7,124.45 = 2,149.52/x
  3. Step 3: Cross multiply
    4,749.62x = 7,124.45 × 2,149.52
  4. Step 4: Simplify right side
    4,749.62x = 15,314,101.39
  5. Step 5: Solve for x
    x = 15,314,101.39/4,749.62
  6. Step 6: Final answer
    x = 3,224.28

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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.