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Finding the Fourth Proportional to 5,215.44, 7,825.44 and 2,749.68

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Solution

The fourth proportional to 5,215.44, 7,825.44 and 2,749.68 is: 4,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.44 : 7,825.44 = 2,749.68 : x
  2. Step 2: Convert to fraction form
    5,215.44/7,825.44 = 2,749.68/x
  3. Step 3: Cross multiply
    5,215.44x = 7,825.44 × 2,749.68
  4. Step 4: Simplify right side
    5,215.44x = 21,517,455.86
  5. Step 5: Solve for x
    x = 21,517,455.86/5,215.44
  6. Step 6: Final answer
    x = 4,125.72

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1.5x scale

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.