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Finding the Fourth Proportional to 39,810, 54,934.20 and 21,905.76

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Solution

The fourth proportional to 39,810, 54,934.20 and 21,905.76 is: 30,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,810 : 54,934.20 = 21,905.76 : x
  2. Step 2: Convert to fraction form
    39,810/54,934.20 = 21,905.76/x
  3. Step 3: Cross multiply
    39,810x = 54,934.20 × 21,905.76
  4. Step 4: Simplify right side
    39,810x = 1,203,375,400.99
  5. Step 5: Solve for x
    x = 1,203,375,400.99/39,810
  6. Step 6: Final answer
    x = 30,227.97

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1.5x scale

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.