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Finding the Fourth Proportional to 7,683.82, 11,530.21 and 3,241.21

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Solution

The fourth proportional to 7,683.82, 11,530.21 and 3,241.21 is: 4,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.82 : 11,530.21 = 3,241.21 : x
  2. Step 2: Convert to fraction form
    7,683.82/11,530.21 = 3,241.21/x
  3. Step 3: Cross multiply
    7,683.82x = 11,530.21 × 3,241.21
  4. Step 4: Simplify right side
    7,683.82x = 37,371,822.72
  5. Step 5: Solve for x
    x = 37,371,822.72/7,683.82
  6. Step 6: Final answer
    x = 4,863.70

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1.5x scale

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.