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Finding the Fourth Proportional to 21,199.92, 31,789.08 and 8,042.28

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Solution

The fourth proportional to 21,199.92, 31,789.08 and 8,042.28 is: 12,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.92 : 31,789.08 = 8,042.28 : x
  2. Step 2: Convert to fraction form
    21,199.92/31,789.08 = 8,042.28/x
  3. Step 3: Cross multiply
    21,199.92x = 31,789.08 × 8,042.28
  4. Step 4: Simplify right side
    21,199.92x = 255,656,682.30
  5. Step 5: Solve for x
    x = 255,656,682.30/21,199.92
  6. Step 6: Final answer
    x = 12,059.32

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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.