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Finding the Fourth Proportional to 9,310.78, 13,922.97 and 7,206.94

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Solution

The fourth proportional to 9,310.78, 13,922.97 and 7,206.94 is: 10,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.78 : 13,922.97 = 7,206.94 : x
  2. Step 2: Convert to fraction form
    9,310.78/13,922.97 = 7,206.94/x
  3. Step 3: Cross multiply
    9,310.78x = 13,922.97 × 7,206.94
  4. Step 4: Simplify right side
    9,310.78x = 100,342,009.41
  5. Step 5: Solve for x
    x = 100,342,009.41/9,310.78
  6. Step 6: Final answer
    x = 10,776.97

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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.