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Finding the Fourth Proportional to 12,805.77, 19,195.48 and 9,286.99

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Solution

The fourth proportional to 12,805.77, 19,195.48 and 9,286.99 is: 13,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.77 : 19,195.48 = 9,286.99 : x
  2. Step 2: Convert to fraction form
    12,805.77/19,195.48 = 9,286.99/x
  3. Step 3: Cross multiply
    12,805.77x = 19,195.48 × 9,286.99
  4. Step 4: Simplify right side
    12,805.77x = 178,268,230.81
  5. Step 5: Solve for x
    x = 178,268,230.81/12,805.77
  6. Step 6: Final answer
    x = 13,920.93

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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.