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Finding the Fourth Proportional to 18,642.10, 25,723.10 and 10,682.84

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Solution

The fourth proportional to 18,642.10, 25,723.10 and 10,682.84 is: 14,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.10 : 25,723.10 = 10,682.84 : x
  2. Step 2: Convert to fraction form
    18,642.10/25,723.10 = 10,682.84/x
  3. Step 3: Cross multiply
    18,642.10x = 25,723.10 × 10,682.84
  4. Step 4: Simplify right side
    18,642.10x = 274,795,761.60
  5. Step 5: Solve for x
    x = 274,795,761.60/18,642.10
  6. Step 6: Final answer
    x = 14,740.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.