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Finding the Fourth Proportional to 30,456.18, 45,684 and 8,269.56

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Solution

The fourth proportional to 30,456.18, 45,684 and 8,269.56 is: 12,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.18 : 45,684 = 8,269.56 : x
  2. Step 2: Convert to fraction form
    30,456.18/45,684 = 8,269.56/x
  3. Step 3: Cross multiply
    30,456.18x = 45,684 × 8,269.56
  4. Step 4: Simplify right side
    30,456.18x = 377,786,579.04
  5. Step 5: Solve for x
    x = 377,786,579.04/30,456.18
  6. Step 6: Final answer
    x = 12,404.27

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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.