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Finding the Fourth Proportional to 20,184, 27,857.76 and 11,352

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Solution

The fourth proportional to 20,184, 27,857.76 and 11,352 is: 15,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184 : 27,857.76 = 11,352 : x
  2. Step 2: Convert to fraction form
    20,184/27,857.76 = 11,352/x
  3. Step 3: Cross multiply
    20,184x = 27,857.76 × 11,352
  4. Step 4: Simplify right side
    20,184x = 316,241,291.52
  5. Step 5: Solve for x
    x = 316,241,291.52/20,184
  6. Step 6: Final answer
    x = 15,667.92

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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.