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Finding the Fourth Proportional to 27,855.72, 38,412.90 and 16,684.20

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Solution

The fourth proportional to 27,855.72, 38,412.90 and 16,684.20 is: 23,007.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.72 : 38,412.90 = 16,684.20 : x
  2. Step 2: Convert to fraction form
    27,855.72/38,412.90 = 16,684.20/x
  3. Step 3: Cross multiply
    27,855.72x = 38,412.90 × 16,684.20
  4. Step 4: Simplify right side
    27,855.72x = 640,888,506.18
  5. Step 5: Solve for x
    x = 640,888,506.18/27,855.72
  6. Step 6: Final answer
    x = 23,007.43

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1.5x scale

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.