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Finding the Fourth Proportional to 39,713.39, 54,805.05 and 21,810

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Solution

The fourth proportional to 39,713.39, 54,805.05 and 21,810 is: 30,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,713.39 : 54,805.05 = 21,810 : x
  2. Step 2: Convert to fraction form
    39,713.39/54,805.05 = 21,810/x
  3. Step 3: Cross multiply
    39,713.39x = 54,805.05 × 21,810
  4. Step 4: Simplify right side
    39,713.39x = 1,195,298,140.50
  5. Step 5: Solve for x
    x = 1,195,298,140.50/39,713.39
  6. Step 6: Final answer
    x = 30,098.12

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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.