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Finding the Fourth Proportional to 9,294.78, 13,942.80 and 3,138.78

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Solution

The fourth proportional to 9,294.78, 13,942.80 and 3,138.78 is: 4,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.78 : 13,942.80 = 3,138.78 : x
  2. Step 2: Convert to fraction form
    9,294.78/13,942.80 = 3,138.78/x
  3. Step 3: Cross multiply
    9,294.78x = 13,942.80 × 3,138.78
  4. Step 4: Simplify right side
    9,294.78x = 43,763,381.78
  5. Step 5: Solve for x
    x = 43,763,381.78/9,294.78
  6. Step 6: Final answer
    x = 4,708.38

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1.5x scale

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.