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Finding the Fourth Proportional to 20,467, 30,707.70 and 10,086.04

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Solution

The fourth proportional to 20,467, 30,707.70 and 10,086.04 is: 15,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467 : 30,707.70 = 10,086.04 : x
  2. Step 2: Convert to fraction form
    20,467/30,707.70 = 10,086.04/x
  3. Step 3: Cross multiply
    20,467x = 30,707.70 × 10,086.04
  4. Step 4: Simplify right side
    20,467x = 309,719,090.51
  5. Step 5: Solve for x
    x = 309,719,090.51/20,467
  6. Step 6: Final answer
    x = 15,132.61

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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.