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Finding the Fourth Proportional to 30,269, 41,771.40 and 17,691.32

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Solution

The fourth proportional to 30,269, 41,771.40 and 17,691.32 is: 24,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269 : 41,771.40 = 17,691.32 : x
  2. Step 2: Convert to fraction form
    30,269/41,771.40 = 17,691.32/x
  3. Step 3: Cross multiply
    30,269x = 41,771.40 × 17,691.32
  4. Step 4: Simplify right side
    30,269x = 738,991,204.25
  5. Step 5: Solve for x
    x = 738,991,204.25/30,269
  6. Step 6: Final answer
    x = 24,414.13

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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.