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Finding the Fourth Proportional to 30,609, 45,921.18 and 8,721

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Solution

The fourth proportional to 30,609, 45,921.18 and 8,721 is: 13,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609 : 45,921.18 = 8,721 : x
  2. Step 2: Convert to fraction form
    30,609/45,921.18 = 8,721/x
  3. Step 3: Cross multiply
    30,609x = 45,921.18 × 8,721
  4. Step 4: Simplify right side
    30,609x = 400,478,610.78
  5. Step 5: Solve for x
    x = 400,478,610.78/30,609
  6. Step 6: Final answer
    x = 13,083.69

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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.