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Finding the Fourth Proportional to 19,894.50, 27,454.64 and 10,942.15

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Solution

The fourth proportional to 19,894.50, 27,454.64 and 10,942.15 is: 15,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.50 : 27,454.64 = 10,942.15 : x
  2. Step 2: Convert to fraction form
    19,894.50/27,454.64 = 10,942.15/x
  3. Step 3: Cross multiply
    19,894.50x = 27,454.64 × 10,942.15
  4. Step 4: Simplify right side
    19,894.50x = 300,412,789.08
  5. Step 5: Solve for x
    x = 300,412,789.08/19,894.50
  6. Step 6: Final answer
    x = 15,100.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.