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Finding the Fourth Proportional to 27,825.16, 38,410.74 and 16,645

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Solution

The fourth proportional to 27,825.16, 38,410.74 and 16,645 is: 22,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.16 : 38,410.74 = 16,645 : x
  2. Step 2: Convert to fraction form
    27,825.16/38,410.74 = 16,645/x
  3. Step 3: Cross multiply
    27,825.16x = 38,410.74 × 16,645
  4. Step 4: Simplify right side
    27,825.16x = 639,346,767.30
  5. Step 5: Solve for x
    x = 639,346,767.30/27,825.16
  6. Step 6: Final answer
    x = 22,977.29

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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.