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Finding the Fourth Proportional to 22,751.31, 31,399.17 and 13,679.65

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Solution

The fourth proportional to 22,751.31, 31,399.17 and 13,679.65 is: 18,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.31 : 31,399.17 = 13,679.65 : x
  2. Step 2: Convert to fraction form
    22,751.31/31,399.17 = 13,679.65/x
  3. Step 3: Cross multiply
    22,751.31x = 31,399.17 × 13,679.65
  4. Step 4: Simplify right side
    22,751.31x = 429,529,643.84
  5. Step 5: Solve for x
    x = 429,529,643.84/22,751.31
  6. Step 6: Final answer
    x = 18,879.33

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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.