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Finding the Fourth Proportional to 9,299.70, 13,947.12 and 3,453.12

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Solution

The fourth proportional to 9,299.70, 13,947.12 and 3,453.12 is: 5,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.70 : 13,947.12 = 3,453.12 : x
  2. Step 2: Convert to fraction form
    9,299.70/13,947.12 = 3,453.12/x
  3. Step 3: Cross multiply
    9,299.70x = 13,947.12 × 3,453.12
  4. Step 4: Simplify right side
    9,299.70x = 48,161,079.01
  5. Step 5: Solve for x
    x = 48,161,079.01/9,299.70
  6. Step 6: Final answer
    x = 5,178.78

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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.