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Finding the Fourth Proportional to 11,690.66, 17,519.64 and 6,426.74

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Solution

The fourth proportional to 11,690.66, 17,519.64 and 6,426.74 is: 9,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.66 : 17,519.64 = 6,426.74 : x
  2. Step 2: Convert to fraction form
    11,690.66/17,519.64 = 6,426.74/x
  3. Step 3: Cross multiply
    11,690.66x = 17,519.64 × 6,426.74
  4. Step 4: Simplify right side
    11,690.66x = 112,594,171.17
  5. Step 5: Solve for x
    x = 112,594,171.17/11,690.66
  6. Step 6: Final answer
    x = 9,631.12

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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.