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Finding the Fourth Proportional to 39,755.84, 54,864.24 and 21,852

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Solution

The fourth proportional to 39,755.84, 54,864.24 and 21,852 is: 30,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,755.84 : 54,864.24 = 21,852 : x
  2. Step 2: Convert to fraction form
    39,755.84/54,864.24 = 21,852/x
  3. Step 3: Cross multiply
    39,755.84x = 54,864.24 × 21,852
  4. Step 4: Simplify right side
    39,755.84x = 1,198,893,372.48
  5. Step 5: Solve for x
    x = 1,198,893,372.48/39,755.84
  6. Step 6: Final answer
    x = 30,156.41

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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.