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Finding the Fourth Proportional to 6,388.73, 9,582.29 and 4,747.67

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Solution

The fourth proportional to 6,388.73, 9,582.29 and 4,747.67 is: 7,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.73 : 9,582.29 = 4,747.67 : x
  2. Step 2: Convert to fraction form
    6,388.73/9,582.29 = 4,747.67/x
  3. Step 3: Cross multiply
    6,388.73x = 9,582.29 × 4,747.67
  4. Step 4: Simplify right side
    6,388.73x = 45,493,527.03
  5. Step 5: Solve for x
    x = 45,493,527.03/6,388.73
  6. Step 6: Final answer
    x = 7,120.90

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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.