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Finding the Fourth Proportional to 6,647.56, 9,952.02 and 3,865.74

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Solution

The fourth proportional to 6,647.56, 9,952.02 and 3,865.74 is: 5,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.56 : 9,952.02 = 3,865.74 : x
  2. Step 2: Convert to fraction form
    6,647.56/9,952.02 = 3,865.74/x
  3. Step 3: Cross multiply
    6,647.56x = 9,952.02 × 3,865.74
  4. Step 4: Simplify right side
    6,647.56x = 38,471,921.79
  5. Step 5: Solve for x
    x = 38,471,921.79/6,647.56
  6. Step 6: Final answer
    x = 5,787.37

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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.