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Finding the Fourth Proportional to 30,617.44, 45,926.19 and 12,149.44

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Solution

The fourth proportional to 30,617.44, 45,926.19 and 12,149.44 is: 18,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.44 : 45,926.19 = 12,149.44 : x
  2. Step 2: Convert to fraction form
    30,617.44/45,926.19 = 12,149.44/x
  3. Step 3: Cross multiply
    30,617.44x = 45,926.19 × 12,149.44
  4. Step 4: Simplify right side
    30,617.44x = 557,977,375.02
  5. Step 5: Solve for x
    x = 557,977,375.02/30,617.44
  6. Step 6: Final answer
    x = 18,224.17

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1.5x scale

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.