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Finding the Fourth Proportional to 24,198.80, 33,392.02 and 13,586

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Solution

The fourth proportional to 24,198.80, 33,392.02 and 13,586 is: 18,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.80 : 33,392.02 = 13,586 : x
  2. Step 2: Convert to fraction form
    24,198.80/33,392.02 = 13,586/x
  3. Step 3: Cross multiply
    24,198.80x = 33,392.02 × 13,586
  4. Step 4: Simplify right side
    24,198.80x = 453,663,983.72
  5. Step 5: Solve for x
    x = 453,663,983.72/24,198.80
  6. Step 6: Final answer
    x = 18,747.38

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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.