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Finding the Fourth Proportional to 22,339.68, 30,827.94 and 12,267.78

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Solution

The fourth proportional to 22,339.68, 30,827.94 and 12,267.78 is: 16,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.68 : 30,827.94 = 12,267.78 : x
  2. Step 2: Convert to fraction form
    22,339.68/30,827.94 = 12,267.78/x
  3. Step 3: Cross multiply
    22,339.68x = 30,827.94 × 12,267.78
  4. Step 4: Simplify right side
    22,339.68x = 378,190,385.77
  5. Step 5: Solve for x
    x = 378,190,385.77/22,339.68
  6. Step 6: Final answer
    x = 16,929.09

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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.