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Finding the Fourth Proportional to 22,742.32, 34,101.60 and 7,155.76

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Solution

The fourth proportional to 22,742.32, 34,101.60 and 7,155.76 is: 10,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.32 : 34,101.60 = 7,155.76 : x
  2. Step 2: Convert to fraction form
    22,742.32/34,101.60 = 7,155.76/x
  3. Step 3: Cross multiply
    22,742.32x = 34,101.60 × 7,155.76
  4. Step 4: Simplify right side
    22,742.32x = 244,022,865.22
  5. Step 5: Solve for x
    x = 244,022,865.22/22,742.32
  6. Step 6: Final answer
    x = 10,729.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.