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Finding the Fourth Proportional to 21,730.50, 29,988.09 and 12,299.09

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Solution

The fourth proportional to 21,730.50, 29,988.09 and 12,299.09 is: 16,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.50 : 29,988.09 = 12,299.09 : x
  2. Step 2: Convert to fraction form
    21,730.50/29,988.09 = 12,299.09/x
  3. Step 3: Cross multiply
    21,730.50x = 29,988.09 × 12,299.09
  4. Step 4: Simplify right side
    21,730.50x = 368,826,067.90
  5. Step 5: Solve for x
    x = 368,826,067.90/21,730.50
  6. Step 6: Final answer
    x = 16,972.74

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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.