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Finding the Fourth Proportional to 20,665.92, 30,972.72 and 10,133.46

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Solution

The fourth proportional to 20,665.92, 30,972.72 and 10,133.46 is: 15,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.92 : 30,972.72 = 10,133.46 : x
  2. Step 2: Convert to fraction form
    20,665.92/30,972.72 = 10,133.46/x
  3. Step 3: Cross multiply
    20,665.92x = 30,972.72 × 10,133.46
  4. Step 4: Simplify right side
    20,665.92x = 313,860,819.21
  5. Step 5: Solve for x
    x = 313,860,819.21/20,665.92
  6. Step 6: Final answer
    x = 15,187.36

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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.