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Finding the Fourth Proportional to 20,731.68, 31,100.88 and 8,251.68

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Solution

The fourth proportional to 20,731.68, 31,100.88 and 8,251.68 is: 12,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.68 : 31,100.88 = 8,251.68 : x
  2. Step 2: Convert to fraction form
    20,731.68/31,100.88 = 8,251.68/x
  3. Step 3: Cross multiply
    20,731.68x = 31,100.88 × 8,251.68
  4. Step 4: Simplify right side
    20,731.68x = 256,634,509.48
  5. Step 5: Solve for x
    x = 256,634,509.48/20,731.68
  6. Step 6: Final answer
    x = 12,378.86

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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.