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Finding the Fourth Proportional to 21,886.43, 32,777.01 and 12,498

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Solution

The fourth proportional to 21,886.43, 32,777.01 and 12,498 is: 18,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.43 : 32,777.01 = 12,498 : x
  2. Step 2: Convert to fraction form
    21,886.43/32,777.01 = 12,498/x
  3. Step 3: Cross multiply
    21,886.43x = 32,777.01 × 12,498
  4. Step 4: Simplify right side
    21,886.43x = 409,647,070.98
  5. Step 5: Solve for x
    x = 409,647,070.98/21,886.43
  6. Step 6: Final answer
    x = 18,716.95

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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.