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Finding the Fourth Proportional to 20,899.68, 31,354.92 and 7,755.84

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Solution

The fourth proportional to 20,899.68, 31,354.92 and 7,755.84 is: 11,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.68 : 31,354.92 = 7,755.84 : x
  2. Step 2: Convert to fraction form
    20,899.68/31,354.92 = 7,755.84/x
  3. Step 3: Cross multiply
    20,899.68x = 31,354.92 × 7,755.84
  4. Step 4: Simplify right side
    20,899.68x = 243,183,742.73
  5. Step 5: Solve for x
    x = 243,183,742.73/20,899.68
  6. Step 6: Final answer
    x = 11,635.76

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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.