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Finding the Fourth Proportional to 39,806.84, 54,932.31 and 21,901.86

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Solution

The fourth proportional to 39,806.84, 54,932.31 and 21,901.86 is: 30,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,806.84 : 54,932.31 = 21,901.86 : x
  2. Step 2: Convert to fraction form
    39,806.84/54,932.31 = 21,901.86/x
  3. Step 3: Cross multiply
    39,806.84x = 54,932.31 × 21,901.86
  4. Step 4: Simplify right side
    39,806.84x = 1,203,119,763.10
  5. Step 5: Solve for x
    x = 1,203,119,763.10/39,806.84
  6. Step 6: Final answer
    x = 30,223.94

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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.