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Finding the Fourth Proportional to 30,231.97, 45,347.81 and 7,742.60

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Solution

The fourth proportional to 30,231.97, 45,347.81 and 7,742.60 is: 11,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.97 : 45,347.81 = 7,742.60 : x
  2. Step 2: Convert to fraction form
    30,231.97/45,347.81 = 7,742.60/x
  3. Step 3: Cross multiply
    30,231.97x = 45,347.81 × 7,742.60
  4. Step 4: Simplify right side
    30,231.97x = 351,109,979.11
  5. Step 5: Solve for x
    x = 351,109,979.11/30,231.97
  6. Step 6: Final answer
    x = 11,613.87

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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.