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Finding the Fourth Proportional to 16,536, 24,780.72 and 12,820.92

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Solution

The fourth proportional to 16,536, 24,780.72 and 12,820.92 is: 19,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536 : 24,780.72 = 12,820.92 : x
  2. Step 2: Convert to fraction form
    16,536/24,780.72 = 12,820.92/x
  3. Step 3: Cross multiply
    16,536x = 24,780.72 × 12,820.92
  4. Step 4: Simplify right side
    16,536x = 317,711,628.66
  5. Step 5: Solve for x
    x = 317,711,628.66/16,536
  6. Step 6: Final answer
    x = 19,213.33

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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.