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Finding the Fourth Proportional to 19,645, 27,110.10 and 10,813

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Solution

The fourth proportional to 19,645, 27,110.10 and 10,813 is: 14,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645 : 27,110.10 = 10,813 : x
  2. Step 2: Convert to fraction form
    19,645/27,110.10 = 10,813/x
  3. Step 3: Cross multiply
    19,645x = 27,110.10 × 10,813
  4. Step 4: Simplify right side
    19,645x = 293,141,511.30
  5. Step 5: Solve for x
    x = 293,141,511.30/19,645
  6. Step 6: Final answer
    x = 14,921.94

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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.