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Finding the Fourth Proportional to 11,651.66, 17,479.64 and 8,311.58

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Solution

The fourth proportional to 11,651.66, 17,479.64 and 8,311.58 is: 12,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.66 : 17,479.64 = 8,311.58 : x
  2. Step 2: Convert to fraction form
    11,651.66/17,479.64 = 8,311.58/x
  3. Step 3: Cross multiply
    11,651.66x = 17,479.64 × 8,311.58
  4. Step 4: Simplify right side
    11,651.66x = 145,283,426.23
  5. Step 5: Solve for x
    x = 145,283,426.23/11,651.66
  6. Step 6: Final answer
    x = 12,468.90

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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.