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Finding the Fourth Proportional to 20,524, 30,793.68 and 10,657.12

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Solution

The fourth proportional to 20,524, 30,793.68 and 10,657.12 is: 15,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524 : 30,793.68 = 10,657.12 : x
  2. Step 2: Convert to fraction form
    20,524/30,793.68 = 10,657.12/x
  3. Step 3: Cross multiply
    20,524x = 30,793.68 × 10,657.12
  4. Step 4: Simplify right side
    20,524x = 328,171,943.00
  5. Step 5: Solve for x
    x = 328,171,943.00/20,524
  6. Step 6: Final answer
    x = 15,989.67

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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.