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Finding the Fourth Proportional to 43,876.82, 65,822.07 and 14,287.69

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Solution

The fourth proportional to 43,876.82, 65,822.07 and 14,287.69 is: 21,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,876.82 : 65,822.07 = 14,287.69 : x
  2. Step 2: Convert to fraction form
    43,876.82/65,822.07 = 14,287.69/x
  3. Step 3: Cross multiply
    43,876.82x = 65,822.07 × 14,287.69
  4. Step 4: Simplify right side
    43,876.82x = 940,445,002.21
  5. Step 5: Solve for x
    x = 940,445,002.21/43,876.82
  6. Step 6: Final answer
    x = 21,433.76

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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.