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Finding the Fourth Proportional to 7,874.16, 11,813.94 and 2,683.68

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Solution

The fourth proportional to 7,874.16, 11,813.94 and 2,683.68 is: 4,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.16 : 11,813.94 = 2,683.68 : x
  2. Step 2: Convert to fraction form
    7,874.16/11,813.94 = 2,683.68/x
  3. Step 3: Cross multiply
    7,874.16x = 11,813.94 × 2,683.68
  4. Step 4: Simplify right side
    7,874.16x = 31,704,834.50
  5. Step 5: Solve for x
    x = 31,704,834.50/7,874.16
  6. Step 6: Final answer
    x = 4,026.44

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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.