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Finding the Fourth Proportional to 18,311.31, 27,476.69 and 7,922.25

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Solution

The fourth proportional to 18,311.31, 27,476.69 and 7,922.25 is: 11,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.31 : 27,476.69 = 7,922.25 : x
  2. Step 2: Convert to fraction form
    18,311.31/27,476.69 = 7,922.25/x
  3. Step 3: Cross multiply
    18,311.31x = 27,476.69 × 7,922.25
  4. Step 4: Simplify right side
    18,311.31x = 217,677,167.74
  5. Step 5: Solve for x
    x = 217,677,167.74/18,311.31
  6. Step 6: Final answer
    x = 11,887.58

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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.