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Finding the Fourth Proportional to 43,776.80, 65,676 and 12,614.48

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Solution

The fourth proportional to 43,776.80, 65,676 and 12,614.48 is: 18,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776.80 : 65,676 = 12,614.48 : x
  2. Step 2: Convert to fraction form
    43,776.80/65,676 = 12,614.48/x
  3. Step 3: Cross multiply
    43,776.80x = 65,676 × 12,614.48
  4. Step 4: Simplify right side
    43,776.80x = 828,468,588.48
  5. Step 5: Solve for x
    x = 828,468,588.48/43,776.80
  6. Step 6: Final answer
    x = 18,924.83

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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.