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Finding the Fourth Proportional to 8,286.83, 12,411.10 and 4,992.66

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Solution

The fourth proportional to 8,286.83, 12,411.10 and 4,992.66 is: 7,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.83 : 12,411.10 = 4,992.66 : x
  2. Step 2: Convert to fraction form
    8,286.83/12,411.10 = 4,992.66/x
  3. Step 3: Cross multiply
    8,286.83x = 12,411.10 × 4,992.66
  4. Step 4: Simplify right side
    8,286.83x = 61,964,402.53
  5. Step 5: Solve for x
    x = 61,964,402.53/8,286.83
  6. Step 6: Final answer
    x = 7,477.46

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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.