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Finding the Fourth Proportional to 20,029.64, 30,023.90 and 10,138.92

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Solution

The fourth proportional to 20,029.64, 30,023.90 and 10,138.92 is: 15,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.64 : 30,023.90 = 10,138.92 : x
  2. Step 2: Convert to fraction form
    20,029.64/30,023.90 = 10,138.92/x
  3. Step 3: Cross multiply
    20,029.64x = 30,023.90 × 10,138.92
  4. Step 4: Simplify right side
    20,029.64x = 304,409,920.19
  5. Step 5: Solve for x
    x = 304,409,920.19/20,029.64
  6. Step 6: Final answer
    x = 15,197.97

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1.5x scale

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.