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Finding the Fourth Proportional to 21,725.50, 29,981.19 and 11,789.50

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Solution

The fourth proportional to 21,725.50, 29,981.19 and 11,789.50 is: 16,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.50 : 29,981.19 = 11,789.50 : x
  2. Step 2: Convert to fraction form
    21,725.50/29,981.19 = 11,789.50/x
  3. Step 3: Cross multiply
    21,725.50x = 29,981.19 × 11,789.50
  4. Step 4: Simplify right side
    21,725.50x = 353,463,239.51
  5. Step 5: Solve for x
    x = 353,463,239.51/21,725.50
  6. Step 6: Final answer
    x = 16,269.51

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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.