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Finding the Fourth Proportional to 20,254.95, 30,380.25 and 5,462.94

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Solution

The fourth proportional to 20,254.95, 30,380.25 and 5,462.94 is: 8,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.95 : 30,380.25 = 5,462.94 : x
  2. Step 2: Convert to fraction form
    20,254.95/30,380.25 = 5,462.94/x
  3. Step 3: Cross multiply
    20,254.95x = 30,380.25 × 5,462.94
  4. Step 4: Simplify right side
    20,254.95x = 165,965,482.94
  5. Step 5: Solve for x
    x = 165,965,482.94/20,254.95
  6. Step 6: Final answer
    x = 8,193.82

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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.