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Finding the Fourth Proportional to 19,651, 27,118.38 and 10,819

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Solution

The fourth proportional to 19,651, 27,118.38 and 10,819 is: 14,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651 : 27,118.38 = 10,819 : x
  2. Step 2: Convert to fraction form
    19,651/27,118.38 = 10,819/x
  3. Step 3: Cross multiply
    19,651x = 27,118.38 × 10,819
  4. Step 4: Simplify right side
    19,651x = 293,393,753.22
  5. Step 5: Solve for x
    x = 293,393,753.22/19,651
  6. Step 6: Final answer
    x = 14,930.22

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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.