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Finding the Fourth Proportional to 9,323.68, 13,983.50 and 3,082.22

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Solution

The fourth proportional to 9,323.68, 13,983.50 and 3,082.22 is: 4,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.68 : 13,983.50 = 3,082.22 : x
  2. Step 2: Convert to fraction form
    9,323.68/13,983.50 = 3,082.22/x
  3. Step 3: Cross multiply
    9,323.68x = 13,983.50 × 3,082.22
  4. Step 4: Simplify right side
    9,323.68x = 43,100,207.96
  5. Step 5: Solve for x
    x = 43,100,207.96/9,323.68
  6. Step 6: Final answer
    x = 4,622.66

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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.