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Finding the Fourth Proportional to 20,577.04, 30,867 and 10,186

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Solution

The fourth proportional to 20,577.04, 30,867 and 10,186 is: 15,279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577.04 : 30,867 = 10,186 : x
  2. Step 2: Convert to fraction form
    20,577.04/30,867 = 10,186/x
  3. Step 3: Cross multiply
    20,577.04x = 30,867 × 10,186
  4. Step 4: Simplify right side
    20,577.04x = 314,411,262
  5. Step 5: Solve for x
    x = 314,411,262/20,577.04
  6. Step 6: Final answer
    x = 15,279.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.