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Finding the Fourth Proportional to 19,933.82, 29,901.82 and 8,085.83

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Solution

The fourth proportional to 19,933.82, 29,901.82 and 8,085.83 is: 12,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933.82 : 29,901.82 = 8,085.83 : x
  2. Step 2: Convert to fraction form
    19,933.82/29,901.82 = 8,085.83/x
  3. Step 3: Cross multiply
    19,933.82x = 29,901.82 × 8,085.83
  4. Step 4: Simplify right side
    19,933.82x = 241,781,033.21
  5. Step 5: Solve for x
    x = 241,781,033.21/19,933.82
  6. Step 6: Final answer
    x = 12,129.19

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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.