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Finding the Fourth Proportional to 7,438, 11,161.32 and 3,334

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Solution

The fourth proportional to 7,438, 11,161.32 and 3,334 is: 5,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438 : 11,161.32 = 3,334 : x
  2. Step 2: Convert to fraction form
    7,438/11,161.32 = 3,334/x
  3. Step 3: Cross multiply
    7,438x = 11,161.32 × 3,334
  4. Step 4: Simplify right side
    7,438x = 37,211,840.88
  5. Step 5: Solve for x
    x = 37,211,840.88/7,438
  6. Step 6: Final answer
    x = 5,002.94

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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.