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Finding the Fourth Proportional to 8,411.82, 12,617.58 and 2,865.08

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Solution

The fourth proportional to 8,411.82, 12,617.58 and 2,865.08 is: 4,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.82 : 12,617.58 = 2,865.08 : x
  2. Step 2: Convert to fraction form
    8,411.82/12,617.58 = 2,865.08/x
  3. Step 3: Cross multiply
    8,411.82x = 12,617.58 × 2,865.08
  4. Step 4: Simplify right side
    8,411.82x = 36,150,376.11
  5. Step 5: Solve for x
    x = 36,150,376.11/8,411.82
  6. Step 6: Final answer
    x = 4,297.57

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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.