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Finding the Fourth Proportional to 33,126.84, 49,713.30 and 21,411

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Solution

The fourth proportional to 33,126.84, 49,713.30 and 21,411 is: 32,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,126.84 : 49,713.30 = 21,411 : x
  2. Step 2: Convert to fraction form
    33,126.84/49,713.30 = 21,411/x
  3. Step 3: Cross multiply
    33,126.84x = 49,713.30 × 21,411
  4. Step 4: Simplify right side
    33,126.84x = 1,064,411,466.30
  5. Step 5: Solve for x
    x = 1,064,411,466.30/33,126.84
  6. Step 6: Final answer
    x = 32,131.39

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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.