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Finding the Fourth Proportional to 13,311, 18,376.38 and 8,007

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Solution

The fourth proportional to 13,311, 18,376.38 and 8,007 is: 11,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311 : 18,376.38 = 8,007 : x
  2. Step 2: Convert to fraction form
    13,311/18,376.38 = 8,007/x
  3. Step 3: Cross multiply
    13,311x = 18,376.38 × 8,007
  4. Step 4: Simplify right side
    13,311x = 147,139,674.66
  5. Step 5: Solve for x
    x = 147,139,674.66/13,311
  6. Step 6: Final answer
    x = 11,053.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.