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Finding the Fourth Proportional to 19,884.67, 29,830.65 and 8,191.51

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Solution

The fourth proportional to 19,884.67, 29,830.65 and 8,191.51 is: 12,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.67 : 29,830.65 = 8,191.51 : x
  2. Step 2: Convert to fraction form
    19,884.67/29,830.65 = 8,191.51/x
  3. Step 3: Cross multiply
    19,884.67x = 29,830.65 × 8,191.51
  4. Step 4: Simplify right side
    19,884.67x = 244,358,067.78
  5. Step 5: Solve for x
    x = 244,358,067.78/19,884.67
  6. Step 6: Final answer
    x = 12,288.77

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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.