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Finding the Fourth Proportional to 19,841.70, 27,382.40 and 11,882.40

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Solution

The fourth proportional to 19,841.70, 27,382.40 and 11,882.40 is: 16,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.70 : 27,382.40 = 11,882.40 : x
  2. Step 2: Convert to fraction form
    19,841.70/27,382.40 = 11,882.40/x
  3. Step 3: Cross multiply
    19,841.70x = 27,382.40 × 11,882.40
  4. Step 4: Simplify right side
    19,841.70x = 325,368,629.76
  5. Step 5: Solve for x
    x = 325,368,629.76/19,841.70
  6. Step 6: Final answer
    x = 16,398.22

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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.