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Finding the Fourth Proportional to 22,511.80, 33,784.56 and 8,485.66

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Solution

The fourth proportional to 22,511.80, 33,784.56 and 8,485.66 is: 12,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.80 : 33,784.56 = 8,485.66 : x
  2. Step 2: Convert to fraction form
    22,511.80/33,784.56 = 8,485.66/x
  3. Step 3: Cross multiply
    22,511.80x = 33,784.56 × 8,485.66
  4. Step 4: Simplify right side
    22,511.80x = 286,684,289.41
  5. Step 5: Solve for x
    x = 286,684,289.41/22,511.80
  6. Step 6: Final answer
    x = 12,734.85

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1.5x scale

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.