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Finding the Fourth Proportional to 7,611.78, 11,417.54 and 3,911.88

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Solution

The fourth proportional to 7,611.78, 11,417.54 and 3,911.88 is: 5,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.78 : 11,417.54 = 3,911.88 : x
  2. Step 2: Convert to fraction form
    7,611.78/11,417.54 = 3,911.88/x
  3. Step 3: Cross multiply
    7,611.78x = 11,417.54 × 3,911.88
  4. Step 4: Simplify right side
    7,611.78x = 44,664,046.38
  5. Step 5: Solve for x
    x = 44,664,046.38/7,611.78
  6. Step 6: Final answer
    x = 5,867.75

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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.