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Finding the Fourth Proportional to 8,683.78, 13,041.56 and 7,951.82

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Solution

The fourth proportional to 8,683.78, 13,041.56 and 7,951.82 is: 11,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.78 : 13,041.56 = 7,951.82 : x
  2. Step 2: Convert to fraction form
    8,683.78/13,041.56 = 7,951.82/x
  3. Step 3: Cross multiply
    8,683.78x = 13,041.56 × 7,951.82
  4. Step 4: Simplify right side
    8,683.78x = 103,704,137.64
  5. Step 5: Solve for x
    x = 103,704,137.64/8,683.78
  6. Step 6: Final answer
    x = 11,942.28

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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.