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Finding the Fourth Proportional to 8,356.82, 12,536.32 and 2,807.78

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Solution

The fourth proportional to 8,356.82, 12,536.32 and 2,807.78 is: 4,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.82 : 12,536.32 = 2,807.78 : x
  2. Step 2: Convert to fraction form
    8,356.82/12,536.32 = 2,807.78/x
  3. Step 3: Cross multiply
    8,356.82x = 12,536.32 × 2,807.78
  4. Step 4: Simplify right side
    8,356.82x = 35,199,228.57
  5. Step 5: Solve for x
    x = 35,199,228.57/8,356.82
  6. Step 6: Final answer
    x = 4,212.04

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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.