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Finding the Fourth Proportional to 19,649, 27,115.62 and 10,817

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Solution

The fourth proportional to 19,649, 27,115.62 and 10,817 is: 14,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649 : 27,115.62 = 10,817 : x
  2. Step 2: Convert to fraction form
    19,649/27,115.62 = 10,817/x
  3. Step 3: Cross multiply
    19,649x = 27,115.62 × 10,817
  4. Step 4: Simplify right side
    19,649x = 293,309,661.54
  5. Step 5: Solve for x
    x = 293,309,661.54/19,649
  6. Step 6: Final answer
    x = 14,927.46

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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.