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Finding the Fourth Proportional to 11,157.66, 16,719.75 and 6,466.68

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Solution

The fourth proportional to 11,157.66, 16,719.75 and 6,466.68 is: 9,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.66 : 16,719.75 = 6,466.68 : x
  2. Step 2: Convert to fraction form
    11,157.66/16,719.75 = 6,466.68/x
  3. Step 3: Cross multiply
    11,157.66x = 16,719.75 × 6,466.68
  4. Step 4: Simplify right side
    11,157.66x = 108,121,272.93
  5. Step 5: Solve for x
    x = 108,121,272.93/11,157.66
  6. Step 6: Final answer
    x = 9,690.32

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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.