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Finding the Fourth Proportional to 43,807.74, 65,690.25 and 21,613.74

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Solution

The fourth proportional to 43,807.74, 65,690.25 and 21,613.74 is: 32,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807.74 : 65,690.25 = 21,613.74 : x
  2. Step 2: Convert to fraction form
    43,807.74/65,690.25 = 21,613.74/x
  3. Step 3: Cross multiply
    43,807.74x = 65,690.25 × 21,613.74
  4. Step 4: Simplify right side
    43,807.74x = 1,419,811,984.04
  5. Step 5: Solve for x
    x = 1,419,811,984.04/43,807.74
  6. Step 6: Final answer
    x = 32,410.07

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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.