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Finding the Fourth Proportional to 19,879.68, 29,825.76 and 8,198.40

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Solution

The fourth proportional to 19,879.68, 29,825.76 and 8,198.40 is: 12,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.68 : 29,825.76 = 8,198.40 : x
  2. Step 2: Convert to fraction form
    19,879.68/29,825.76 = 8,198.40/x
  3. Step 3: Cross multiply
    19,879.68x = 29,825.76 × 8,198.40
  4. Step 4: Simplify right side
    19,879.68x = 244,523,510.78
  5. Step 5: Solve for x
    x = 244,523,510.78/19,879.68
  6. Step 6: Final answer
    x = 12,300.17

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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.