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Finding the Fourth Proportional to 7,231, 9,978.78 and 3,919

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Solution

The fourth proportional to 7,231, 9,978.78 and 3,919 is: 5,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231 : 9,978.78 = 3,919 : x
  2. Step 2: Convert to fraction form
    7,231/9,978.78 = 3,919/x
  3. Step 3: Cross multiply
    7,231x = 9,978.78 × 3,919
  4. Step 4: Simplify right side
    7,231x = 39,106,838.82
  5. Step 5: Solve for x
    x = 39,106,838.82/7,231
  6. Step 6: Final answer
    x = 5,408.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.