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Finding the Fourth Proportional to 21,756, 30,013.14 and 12,797.80

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Solution

The fourth proportional to 21,756, 30,013.14 and 12,797.80 is: 17,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756 : 30,013.14 = 12,797.80 : x
  2. Step 2: Convert to fraction form
    21,756/30,013.14 = 12,797.80/x
  3. Step 3: Cross multiply
    21,756x = 30,013.14 × 12,797.80
  4. Step 4: Simplify right side
    21,756x = 384,102,163.09
  5. Step 5: Solve for x
    x = 384,102,163.09/21,756
  6. Step 6: Final answer
    x = 17,655.00

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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.