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Finding the Fourth Proportional to 9,899, 13,660.22 and 5,922.30

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Solution

The fourth proportional to 9,899, 13,660.22 and 5,922.30 is: 8,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899 : 13,660.22 = 5,922.30 : x
  2. Step 2: Convert to fraction form
    9,899/13,660.22 = 5,922.30/x
  3. Step 3: Cross multiply
    9,899x = 13,660.22 × 5,922.30
  4. Step 4: Simplify right side
    9,899x = 80,899,920.91
  5. Step 5: Solve for x
    x = 80,899,920.91/9,899
  6. Step 6: Final answer
    x = 8,172.53

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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.