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Finding the Fourth Proportional to 17,854.80, 26,782.20 and 10,942.80

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Solution

The fourth proportional to 17,854.80, 26,782.20 and 10,942.80 is: 16,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.80 : 26,782.20 = 10,942.80 : x
  2. Step 2: Convert to fraction form
    17,854.80/26,782.20 = 10,942.80/x
  3. Step 3: Cross multiply
    17,854.80x = 26,782.20 × 10,942.80
  4. Step 4: Simplify right side
    17,854.80x = 293,072,258.16
  5. Step 5: Solve for x
    x = 293,072,258.16/17,854.80
  6. Step 6: Final answer
    x = 16,414.20

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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.