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Finding the Fourth Proportional to 30,270.40, 41,774.36 and 18,327

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Solution

The fourth proportional to 30,270.40, 41,774.36 and 18,327 is: 25,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.40 : 41,774.36 = 18,327 : x
  2. Step 2: Convert to fraction form
    30,270.40/41,774.36 = 18,327/x
  3. Step 3: Cross multiply
    30,270.40x = 41,774.36 × 18,327
  4. Step 4: Simplify right side
    30,270.40x = 765,598,695.72
  5. Step 5: Solve for x
    x = 765,598,695.72/30,270.40
  6. Step 6: Final answer
    x = 25,291.99

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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.