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Finding the Fourth Proportional to 43,801.92, 65,718.12 and 13,820.78

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Solution

The fourth proportional to 43,801.92, 65,718.12 and 13,820.78 is: 20,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,801.92 : 65,718.12 = 13,820.78 : x
  2. Step 2: Convert to fraction form
    43,801.92/65,718.12 = 13,820.78/x
  3. Step 3: Cross multiply
    43,801.92x = 65,718.12 × 13,820.78
  4. Step 4: Simplify right side
    43,801.92x = 908,275,349.94
  5. Step 5: Solve for x
    x = 908,275,349.94/43,801.92
  6. Step 6: Final answer
    x = 20,735.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.