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Finding the Fourth Proportional to 39,725, 54,821.94 and 21,821.68

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Solution

The fourth proportional to 39,725, 54,821.94 and 21,821.68 is: 30,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,725 : 54,821.94 = 21,821.68 : x
  2. Step 2: Convert to fraction form
    39,725/54,821.94 = 21,821.68/x
  3. Step 3: Cross multiply
    39,725x = 54,821.94 × 21,821.68
  4. Step 4: Simplify right side
    39,725x = 1,196,306,831.66
  5. Step 5: Solve for x
    x = 1,196,306,831.66/39,725
  6. Step 6: Final answer
    x = 30,114.71

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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.