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Finding the Fourth Proportional to 19,902.60, 29,853.90 and 8,224.20

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Solution

The fourth proportional to 19,902.60, 29,853.90 and 8,224.20 is: 12,336.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.60 : 29,853.90 = 8,224.20 : x
  2. Step 2: Convert to fraction form
    19,902.60/29,853.90 = 8,224.20/x
  3. Step 3: Cross multiply
    19,902.60x = 29,853.90 × 8,224.20
  4. Step 4: Simplify right side
    19,902.60x = 245,524,444.38
  5. Step 5: Solve for x
    x = 245,524,444.38/19,902.60
  6. Step 6: Final answer
    x = 12,336.30

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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.