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Finding the Fourth Proportional to 3,144.45, 4,715.56 and 922.67

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Solution

The fourth proportional to 3,144.45, 4,715.56 and 922.67 is: 1,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.45 : 4,715.56 = 922.67 : x
  2. Step 2: Convert to fraction form
    3,144.45/4,715.56 = 922.67/x
  3. Step 3: Cross multiply
    3,144.45x = 4,715.56 × 922.67
  4. Step 4: Simplify right side
    3,144.45x = 4,350,905.75
  5. Step 5: Solve for x
    x = 4,350,905.75/3,144.45
  6. Step 6: Final answer
    x = 1,383.68

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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.