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Finding the Fourth Proportional to 9,311.90, 13,977.02 and 6,839.78

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Solution

The fourth proportional to 9,311.90, 13,977.02 and 6,839.78 is: 10,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.90 : 13,977.02 = 6,839.78 : x
  2. Step 2: Convert to fraction form
    9,311.90/13,977.02 = 6,839.78/x
  3. Step 3: Cross multiply
    9,311.90x = 13,977.02 × 6,839.78
  4. Step 4: Simplify right side
    9,311.90x = 95,599,689.07
  5. Step 5: Solve for x
    x = 95,599,689.07/9,311.90
  6. Step 6: Final answer
    x = 10,266.41

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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.