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Finding the Fourth Proportional to 11,891.92, 17,811.78 and 9,807.16

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Solution

The fourth proportional to 11,891.92, 17,811.78 and 9,807.16 is: 14,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.92 : 17,811.78 = 9,807.16 : x
  2. Step 2: Convert to fraction form
    11,891.92/17,811.78 = 9,807.16/x
  3. Step 3: Cross multiply
    11,891.92x = 17,811.78 × 9,807.16
  4. Step 4: Simplify right side
    11,891.92x = 174,682,976.34
  5. Step 5: Solve for x
    x = 174,682,976.34/11,891.92
  6. Step 6: Final answer
    x = 14,689.22

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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.