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Finding the Fourth Proportional to 11,157.74, 16,696.63 and 9,661.91

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Solution

The fourth proportional to 11,157.74, 16,696.63 and 9,661.91 is: 14,458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.74 : 16,696.63 = 9,661.91 : x
  2. Step 2: Convert to fraction form
    11,157.74/16,696.63 = 9,661.91/x
  3. Step 3: Cross multiply
    11,157.74x = 16,696.63 × 9,661.91
  4. Step 4: Simplify right side
    11,157.74x = 161,321,378.66
  5. Step 5: Solve for x
    x = 161,321,378.66/11,157.74
  6. Step 6: Final answer
    x = 14,458.24

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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.