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Finding the Fourth Proportional to 20,164.52, 27,827.52 and 11,212.40

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Solution

The fourth proportional to 20,164.52, 27,827.52 and 11,212.40 is: 15,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.52 : 27,827.52 = 11,212.40 : x
  2. Step 2: Convert to fraction form
    20,164.52/27,827.52 = 11,212.40/x
  3. Step 3: Cross multiply
    20,164.52x = 27,827.52 × 11,212.40
  4. Step 4: Simplify right side
    20,164.52x = 312,013,285.25
  5. Step 5: Solve for x
    x = 312,013,285.25/20,164.52
  6. Step 6: Final answer
    x = 15,473.38

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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.