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Finding the Fourth Proportional to 6,367.79, 9,550.64 and 1,688.09

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Solution

The fourth proportional to 6,367.79, 9,550.64 and 1,688.09 is: 2,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.79 : 9,550.64 = 1,688.09 : x
  2. Step 2: Convert to fraction form
    6,367.79/9,550.64 = 1,688.09/x
  3. Step 3: Cross multiply
    6,367.79x = 9,550.64 × 1,688.09
  4. Step 4: Simplify right side
    6,367.79x = 16,122,359.53
  5. Step 5: Solve for x
    x = 16,122,359.53/6,367.79
  6. Step 6: Final answer
    x = 2,531.86

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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.