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Finding the Fourth Proportional to 8,585.43, 12,867.74 and 3,644.69

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Solution

The fourth proportional to 8,585.43, 12,867.74 and 3,644.69 is: 5,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.43 : 12,867.74 = 3,644.69 : x
  2. Step 2: Convert to fraction form
    8,585.43/12,867.74 = 3,644.69/x
  3. Step 3: Cross multiply
    8,585.43x = 12,867.74 × 3,644.69
  4. Step 4: Simplify right side
    8,585.43x = 46,898,840.74
  5. Step 5: Solve for x
    x = 46,898,840.74/8,585.43
  6. Step 6: Final answer
    x = 5,462.61

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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.