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Finding the Fourth Proportional to 19,993.68, 29,991 and 6,846

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Solution

The fourth proportional to 19,993.68, 29,991 and 6,846 is: 10,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.68 : 29,991 = 6,846 : x
  2. Step 2: Convert to fraction form
    19,993.68/29,991 = 6,846/x
  3. Step 3: Cross multiply
    19,993.68x = 29,991 × 6,846
  4. Step 4: Simplify right side
    19,993.68x = 205,318,386
  5. Step 5: Solve for x
    x = 205,318,386/19,993.68
  6. Step 6: Final answer
    x = 10,269.16

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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.