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Finding the Fourth Proportional to 10,141.96, 15,214.62 and 3,218.12

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Solution

The fourth proportional to 10,141.96, 15,214.62 and 3,218.12 is: 4,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.96 : 15,214.62 = 3,218.12 : x
  2. Step 2: Convert to fraction form
    10,141.96/15,214.62 = 3,218.12/x
  3. Step 3: Cross multiply
    10,141.96x = 15,214.62 × 3,218.12
  4. Step 4: Simplify right side
    10,141.96x = 48,962,472.91
  5. Step 5: Solve for x
    x = 48,962,472.91/10,141.96
  6. Step 6: Final answer
    x = 4,827.71

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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.