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Finding the Fourth Proportional to 21,878.92, 32,818.38 and 12,080.50

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Solution

The fourth proportional to 21,878.92, 32,818.38 and 12,080.50 is: 18,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.92 : 32,818.38 = 12,080.50 : x
  2. Step 2: Convert to fraction form
    21,878.92/32,818.38 = 12,080.50/x
  3. Step 3: Cross multiply
    21,878.92x = 32,818.38 × 12,080.50
  4. Step 4: Simplify right side
    21,878.92x = 396,462,439.59
  5. Step 5: Solve for x
    x = 396,462,439.59/21,878.92
  6. Step 6: Final answer
    x = 18,120.75

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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.