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Finding the Fourth Proportional to 7,681.54, 11,512.72 and 3,293.91

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Solution

The fourth proportional to 7,681.54, 11,512.72 and 3,293.91 is: 4,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.54 : 11,512.72 = 3,293.91 : x
  2. Step 2: Convert to fraction form
    7,681.54/11,512.72 = 3,293.91/x
  3. Step 3: Cross multiply
    7,681.54x = 11,512.72 × 3,293.91
  4. Step 4: Simplify right side
    7,681.54x = 37,921,863.54
  5. Step 5: Solve for x
    x = 37,921,863.54/7,681.54
  6. Step 6: Final answer
    x = 4,936.75

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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.