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Finding the Fourth Proportional to 30,502.96, 45,749.82 and 8,318.14

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Solution

The fourth proportional to 30,502.96, 45,749.82 and 8,318.14 is: 12,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.96 : 45,749.82 = 8,318.14 : x
  2. Step 2: Convert to fraction form
    30,502.96/45,749.82 = 8,318.14/x
  3. Step 3: Cross multiply
    30,502.96x = 45,749.82 × 8,318.14
  4. Step 4: Simplify right side
    30,502.96x = 380,553,407.73
  5. Step 5: Solve for x
    x = 380,553,407.73/30,502.96
  6. Step 6: Final answer
    x = 12,475.95

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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.