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Finding the Fourth Proportional to 30,167.84, 41,629.74 and 18,224.12

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Solution

The fourth proportional to 30,167.84, 41,629.74 and 18,224.12 is: 25,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167.84 : 41,629.74 = 18,224.12 : x
  2. Step 2: Convert to fraction form
    30,167.84/41,629.74 = 18,224.12/x
  3. Step 3: Cross multiply
    30,167.84x = 41,629.74 × 18,224.12
  4. Step 4: Simplify right side
    30,167.84x = 758,665,377.33
  5. Step 5: Solve for x
    x = 758,665,377.33/30,167.84
  6. Step 6: Final answer
    x = 25,148.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.