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Finding the Fourth Proportional to 21,726, 32,574.06 and 8,579.88

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Solution

The fourth proportional to 21,726, 32,574.06 and 8,579.88 is: 12,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726 : 32,574.06 = 8,579.88 : x
  2. Step 2: Convert to fraction form
    21,726/32,574.06 = 8,579.88/x
  3. Step 3: Cross multiply
    21,726x = 32,574.06 × 8,579.88
  4. Step 4: Simplify right side
    21,726x = 279,481,525.91
  5. Step 5: Solve for x
    x = 279,481,525.91/21,726
  6. Step 6: Final answer
    x = 12,863.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.