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Finding the Fourth Proportional to 27,828, 38,402.82 and 16,650

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Solution

The fourth proportional to 27,828, 38,402.82 and 16,650 is: 22,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828 : 38,402.82 = 16,650 : x
  2. Step 2: Convert to fraction form
    27,828/38,402.82 = 16,650/x
  3. Step 3: Cross multiply
    27,828x = 38,402.82 × 16,650
  4. Step 4: Simplify right side
    27,828x = 639,406,953
  5. Step 5: Solve for x
    x = 639,406,953/27,828
  6. Step 6: Final answer
    x = 22,977.11

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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.