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Finding the Fourth Proportional to 39,653.50, 54,721.83 and 21,989.50

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Solution

The fourth proportional to 39,653.50, 54,721.83 and 21,989.50 is: 30,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,653.50 : 54,721.83 = 21,989.50 : x
  2. Step 2: Convert to fraction form
    39,653.50/54,721.83 = 21,989.50/x
  3. Step 3: Cross multiply
    39,653.50x = 54,721.83 × 21,989.50
  4. Step 4: Simplify right side
    39,653.50x = 1,203,305,680.79
  5. Step 5: Solve for x
    x = 1,203,305,680.79/39,653.50
  6. Step 6: Final answer
    x = 30,345.51

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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.