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Finding the Fourth Proportional to 7,486, 11,221.32 and 3,106

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Solution

The fourth proportional to 7,486, 11,221.32 and 3,106 is: 4,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 11,221.32 = 3,106 : x
  2. Step 2: Convert to fraction form
    7,486/11,221.32 = 3,106/x
  3. Step 3: Cross multiply
    7,486x = 11,221.32 × 3,106
  4. Step 4: Simplify right side
    7,486x = 34,853,419.92
  5. Step 5: Solve for x
    x = 34,853,419.92/7,486
  6. Step 6: Final answer
    x = 4,655.81

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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.