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Finding the Fourth Proportional to 20,562.60, 30,825 and 7,411.76

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Solution

The fourth proportional to 20,562.60, 30,825 and 7,411.76 is: 11,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.60 : 30,825 = 7,411.76 : x
  2. Step 2: Convert to fraction form
    20,562.60/30,825 = 7,411.76/x
  3. Step 3: Cross multiply
    20,562.60x = 30,825 × 7,411.76
  4. Step 4: Simplify right side
    20,562.60x = 228,467,502
  5. Step 5: Solve for x
    x = 228,467,502/20,562.60
  6. Step 6: Final answer
    x = 11,110.83

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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.