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Finding the Fourth Proportional to 43,854.32, 65,771.88 and 12,682.80

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Solution

The fourth proportional to 43,854.32, 65,771.88 and 12,682.80 is: 19,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,854.32 : 65,771.88 = 12,682.80 : x
  2. Step 2: Convert to fraction form
    43,854.32/65,771.88 = 12,682.80/x
  3. Step 3: Cross multiply
    43,854.32x = 65,771.88 × 12,682.80
  4. Step 4: Simplify right side
    43,854.32x = 834,171,599.66
  5. Step 5: Solve for x
    x = 834,171,599.66/43,854.32
  6. Step 6: Final answer
    x = 19,021.42

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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.