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Finding the Fourth Proportional to 33,489.84, 46,178 and 21,374

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Solution

The fourth proportional to 33,489.84, 46,178 and 21,374 is: 29,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,489.84 : 46,178 = 21,374 : x
  2. Step 2: Convert to fraction form
    33,489.84/46,178 = 21,374/x
  3. Step 3: Cross multiply
    33,489.84x = 46,178 × 21,374
  4. Step 4: Simplify right side
    33,489.84x = 987,008,572
  5. Step 5: Solve for x
    x = 987,008,572/33,489.84
  6. Step 6: Final answer
    x = 29,471.88

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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.