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Finding the Fourth Proportional to 33,320, 49,941.12 and 18,521.84

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Solution

The fourth proportional to 33,320, 49,941.12 and 18,521.84 is: 27,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,320 : 49,941.12 = 18,521.84 : x
  2. Step 2: Convert to fraction form
    33,320/49,941.12 = 18,521.84/x
  3. Step 3: Cross multiply
    33,320x = 49,941.12 × 18,521.84
  4. Step 4: Simplify right side
    33,320x = 925,001,434.06
  5. Step 5: Solve for x
    x = 925,001,434.06/33,320
  6. Step 6: Final answer
    x = 27,761.15

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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.