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Finding the Fourth Proportional to 15,809.82, 21,828.15 and 9,843.90

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Solution

The fourth proportional to 15,809.82, 21,828.15 and 9,843.90 is: 13,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.82 : 21,828.15 = 9,843.90 : x
  2. Step 2: Convert to fraction form
    15,809.82/21,828.15 = 9,843.90/x
  3. Step 3: Cross multiply
    15,809.82x = 21,828.15 × 9,843.90
  4. Step 4: Simplify right side
    15,809.82x = 214,874,125.79
  5. Step 5: Solve for x
    x = 214,874,125.79/15,809.82
  6. Step 6: Final answer
    x = 13,591.18

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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.