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Finding the Fourth Proportional to 11,591.19, 15,995.94 and 6,811.32

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Solution

The fourth proportional to 11,591.19, 15,995.94 and 6,811.32 is: 9,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.19 : 15,995.94 = 6,811.32 : x
  2. Step 2: Convert to fraction form
    11,591.19/15,995.94 = 6,811.32/x
  3. Step 3: Cross multiply
    11,591.19x = 15,995.94 × 6,811.32
  4. Step 4: Simplify right side
    11,591.19x = 108,953,466.04
  5. Step 5: Solve for x
    x = 108,953,466.04/11,591.19
  6. Step 6: Final answer
    x = 9,399.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.