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Finding the Fourth Proportional to 21,801, 30,085.38 and 11,865

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Solution

The fourth proportional to 21,801, 30,085.38 and 11,865 is: 16,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,801 : 30,085.38 = 11,865 : x
  2. Step 2: Convert to fraction form
    21,801/30,085.38 = 11,865/x
  3. Step 3: Cross multiply
    21,801x = 30,085.38 × 11,865
  4. Step 4: Simplify right side
    21,801x = 356,963,033.70
  5. Step 5: Solve for x
    x = 356,963,033.70/21,801
  6. Step 6: Final answer
    x = 16,373.70

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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.