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Finding the Fourth Proportional to 8,348.96, 12,515.24 and 3,411.81

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Solution

The fourth proportional to 8,348.96, 12,515.24 and 3,411.81 is: 5,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.96 : 12,515.24 = 3,411.81 : x
  2. Step 2: Convert to fraction form
    8,348.96/12,515.24 = 3,411.81/x
  3. Step 3: Cross multiply
    8,348.96x = 12,515.24 × 3,411.81
  4. Step 4: Simplify right side
    8,348.96x = 42,699,620.98
  5. Step 5: Solve for x
    x = 42,699,620.98/8,348.96
  6. Step 6: Final answer
    x = 5,114.36

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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.