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Finding the Fourth Proportional to 27,687.64, 38,208.54 and 16,357

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Solution

The fourth proportional to 27,687.64, 38,208.54 and 16,357 is: 22,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687.64 : 38,208.54 = 16,357 : x
  2. Step 2: Convert to fraction form
    27,687.64/38,208.54 = 16,357/x
  3. Step 3: Cross multiply
    27,687.64x = 38,208.54 × 16,357
  4. Step 4: Simplify right side
    27,687.64x = 624,977,088.78
  5. Step 5: Solve for x
    x = 624,977,088.78/27,687.64
  6. Step 6: Final answer
    x = 22,572.42

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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.