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Finding the Fourth Proportional to 7,337, 10,989 and 4,409.12

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Solution

The fourth proportional to 7,337, 10,989 and 4,409.12 is: 6,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,337 : 10,989 = 4,409.12 : x
  2. Step 2: Convert to fraction form
    7,337/10,989 = 4,409.12/x
  3. Step 3: Cross multiply
    7,337x = 10,989 × 4,409.12
  4. Step 4: Simplify right side
    7,337x = 48,451,819.68
  5. Step 5: Solve for x
    x = 48,451,819.68/7,337
  6. Step 6: Final answer
    x = 6,603.76

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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.