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Finding the Fourth Proportional to 6,611.78, 9,919.26 and 1,931.87

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Solution

The fourth proportional to 6,611.78, 9,919.26 and 1,931.87 is: 2,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.78 : 9,919.26 = 1,931.87 : x
  2. Step 2: Convert to fraction form
    6,611.78/9,919.26 = 1,931.87/x
  3. Step 3: Cross multiply
    6,611.78x = 9,919.26 × 1,931.87
  4. Step 4: Simplify right side
    6,611.78x = 19,162,745.61
  5. Step 5: Solve for x
    x = 19,162,745.61/6,611.78
  6. Step 6: Final answer
    x = 2,898.27

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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.