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Finding the Fourth Proportional to 13,314.88, 18,381.90 and 8,011

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Solution

The fourth proportional to 13,314.88, 18,381.90 and 8,011 is: 11,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.88 : 18,381.90 = 8,011 : x
  2. Step 2: Convert to fraction form
    13,314.88/18,381.90 = 8,011/x
  3. Step 3: Cross multiply
    13,314.88x = 18,381.90 × 8,011
  4. Step 4: Simplify right side
    13,314.88x = 147,257,400.90
  5. Step 5: Solve for x
    x = 147,257,400.90/13,314.88
  6. Step 6: Final answer
    x = 11,059.61

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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.