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Finding the Fourth Proportional to 17,853.40, 26,747.70 and 10,919.80

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Solution

The fourth proportional to 17,853.40, 26,747.70 and 10,919.80 is: 16,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.40 : 26,747.70 = 10,919.80 : x
  2. Step 2: Convert to fraction form
    17,853.40/26,747.70 = 10,919.80/x
  3. Step 3: Cross multiply
    17,853.40x = 26,747.70 × 10,919.80
  4. Step 4: Simplify right side
    17,853.40x = 292,079,534.46
  5. Step 5: Solve for x
    x = 292,079,534.46/17,853.40
  6. Step 6: Final answer
    x = 16,359.88

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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.