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Finding the Fourth Proportional to 30,472.67, 45,709.92 and 8,286.51

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Solution

The fourth proportional to 30,472.67, 45,709.92 and 8,286.51 is: 12,430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.67 : 45,709.92 = 8,286.51 : x
  2. Step 2: Convert to fraction form
    30,472.67/45,709.92 = 8,286.51/x
  3. Step 3: Cross multiply
    30,472.67x = 45,709.92 × 8,286.51
  4. Step 4: Simplify right side
    30,472.67x = 378,775,709.18
  5. Step 5: Solve for x
    x = 378,775,709.18/30,472.67
  6. Step 6: Final answer
    x = 12,430.02

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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.