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Finding the Fourth Proportional to 6,221.56, 9,335.58 and 2,758

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Solution

The fourth proportional to 6,221.56, 9,335.58 and 2,758 is: 4,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.56 : 9,335.58 = 2,758 : x
  2. Step 2: Convert to fraction form
    6,221.56/9,335.58 = 2,758/x
  3. Step 3: Cross multiply
    6,221.56x = 9,335.58 × 2,758
  4. Step 4: Simplify right side
    6,221.56x = 25,747,529.64
  5. Step 5: Solve for x
    x = 25,747,529.64/6,221.56
  6. Step 6: Final answer
    x = 4,138.44

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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.