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Finding the Fourth Proportional to 43,394.42, 65,098.92 and 13,821.32

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Solution

The fourth proportional to 43,394.42, 65,098.92 and 13,821.32 is: 20,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,394.42 : 65,098.92 = 13,821.32 : x
  2. Step 2: Convert to fraction form
    43,394.42/65,098.92 = 13,821.32/x
  3. Step 3: Cross multiply
    43,394.42x = 65,098.92 × 13,821.32
  4. Step 4: Simplify right side
    43,394.42x = 899,752,679.48
  5. Step 5: Solve for x
    x = 899,752,679.48/43,394.42
  6. Step 6: Final answer
    x = 20,734.30

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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.