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Finding the Fourth Proportional to 30,610.53, 45,909.99 and 8,418.42

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Solution

The fourth proportional to 30,610.53, 45,909.99 and 8,418.42 is: 12,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610.53 : 45,909.99 = 8,418.42 : x
  2. Step 2: Convert to fraction form
    30,610.53/45,909.99 = 8,418.42/x
  3. Step 3: Cross multiply
    30,610.53x = 45,909.99 × 8,418.42
  4. Step 4: Simplify right side
    30,610.53x = 386,489,578.02
  5. Step 5: Solve for x
    x = 386,489,578.02/30,610.53
  6. Step 6: Final answer
    x = 12,626.03

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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.