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Finding the Fourth Proportional to 7,684.60, 11,523.86 and 3,299

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Solution

The fourth proportional to 7,684.60, 11,523.86 and 3,299 is: 4,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.60 : 11,523.86 = 3,299 : x
  2. Step 2: Convert to fraction form
    7,684.60/11,523.86 = 3,299/x
  3. Step 3: Cross multiply
    7,684.60x = 11,523.86 × 3,299
  4. Step 4: Simplify right side
    7,684.60x = 38,017,214.14
  5. Step 5: Solve for x
    x = 38,017,214.14/7,684.60
  6. Step 6: Final answer
    x = 4,947.19

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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.