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Finding the Fourth Proportional to 9,222.78, 12,723.81 and 5,679.84

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Solution

The fourth proportional to 9,222.78, 12,723.81 and 5,679.84 is: 7,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.78 : 12,723.81 = 5,679.84 : x
  2. Step 2: Convert to fraction form
    9,222.78/12,723.81 = 5,679.84/x
  3. Step 3: Cross multiply
    9,222.78x = 12,723.81 × 5,679.84
  4. Step 4: Simplify right side
    9,222.78x = 72,269,204.99
  5. Step 5: Solve for x
    x = 72,269,204.99/9,222.78
  6. Step 6: Final answer
    x = 7,835.95

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1.5x scale

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.