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Finding the Fourth Proportional to 9,222.88, 13,834.32 and 7,900.96

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Solution

The fourth proportional to 9,222.88, 13,834.32 and 7,900.96 is: 11,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.88 : 13,834.32 = 7,900.96 : x
  2. Step 2: Convert to fraction form
    9,222.88/13,834.32 = 7,900.96/x
  3. Step 3: Cross multiply
    9,222.88x = 13,834.32 × 7,900.96
  4. Step 4: Simplify right side
    9,222.88x = 109,304,408.95
  5. Step 5: Solve for x
    x = 109,304,408.95/9,222.88
  6. Step 6: Final answer
    x = 11,851.44

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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.