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Finding the Fourth Proportional to 15,843.56, 21,868.12 and 9,872.02

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Solution

The fourth proportional to 15,843.56, 21,868.12 and 9,872.02 is: 13,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.56 : 21,868.12 = 9,872.02 : x
  2. Step 2: Convert to fraction form
    15,843.56/21,868.12 = 9,872.02/x
  3. Step 3: Cross multiply
    15,843.56x = 21,868.12 × 9,872.02
  4. Step 4: Simplify right side
    15,843.56x = 215,882,518.00
  5. Step 5: Solve for x
    x = 215,882,518.00/15,843.56
  6. Step 6: Final answer
    x = 13,625.88

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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.