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Finding the Fourth Proportional to 11,518, 17,276.32 and 6,776.82

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Solution

The fourth proportional to 11,518, 17,276.32 and 6,776.82 is: 10,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 17,276.32 = 6,776.82 : x
  2. Step 2: Convert to fraction form
    11,518/17,276.32 = 6,776.82/x
  3. Step 3: Cross multiply
    11,518x = 17,276.32 × 6,776.82
  4. Step 4: Simplify right side
    11,518x = 117,078,510.90
  5. Step 5: Solve for x
    x = 117,078,510.90/11,518
  6. Step 6: Final answer
    x = 10,164.83

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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.