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Finding the Fourth Proportional to 11,815.92, 17,707.92 and 6,550.72

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Solution

The fourth proportional to 11,815.92, 17,707.92 and 6,550.72 is: 9,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.92 : 17,707.92 = 6,550.72 : x
  2. Step 2: Convert to fraction form
    11,815.92/17,707.92 = 6,550.72/x
  3. Step 3: Cross multiply
    11,815.92x = 17,707.92 × 6,550.72
  4. Step 4: Simplify right side
    11,815.92x = 115,999,625.70
  5. Step 5: Solve for x
    x = 115,999,625.70/11,815.92
  6. Step 6: Final answer
    x = 9,817.23

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1.5x scale

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.