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Finding the Fourth Proportional to 30,351.84, 41,882.16 and 18,418.08

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Solution

The fourth proportional to 30,351.84, 41,882.16 and 18,418.08 is: 25,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,351.84 : 41,882.16 = 18,418.08 : x
  2. Step 2: Convert to fraction form
    30,351.84/41,882.16 = 18,418.08/x
  3. Step 3: Cross multiply
    30,351.84x = 41,882.16 × 18,418.08
  4. Step 4: Simplify right side
    30,351.84x = 771,388,973.45
  5. Step 5: Solve for x
    x = 771,388,973.45/30,351.84
  6. Step 6: Final answer
    x = 25,414.90

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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.