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Finding the Fourth Proportional to 4,724.38, 7,087.84 and 4,207.92

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Solution

The fourth proportional to 4,724.38, 7,087.84 and 4,207.92 is: 6,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.38 : 7,087.84 = 4,207.92 : x
  2. Step 2: Convert to fraction form
    4,724.38/7,087.84 = 4,207.92/x
  3. Step 3: Cross multiply
    4,724.38x = 7,087.84 × 4,207.92
  4. Step 4: Simplify right side
    4,724.38x = 29,825,063.69
  5. Step 5: Solve for x
    x = 29,825,063.69/4,724.38
  6. Step 6: Final answer
    x = 6,313.01

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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.