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Finding the Fourth Proportional to 7,138, 9,850.92 and 3,994.48

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Solution

The fourth proportional to 7,138, 9,850.92 and 3,994.48 is: 5,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 9,850.92 = 3,994.48 : x
  2. Step 2: Convert to fraction form
    7,138/9,850.92 = 3,994.48/x
  3. Step 3: Cross multiply
    7,138x = 9,850.92 × 3,994.48
  4. Step 4: Simplify right side
    7,138x = 39,349,302.92
  5. Step 5: Solve for x
    x = 39,349,302.92/7,138
  6. Step 6: Final answer
    x = 5,512.65

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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.