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Finding the Fourth Proportional to 9,918.50, 13,689.81 and 6,375.56

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Solution

The fourth proportional to 9,918.50, 13,689.81 and 6,375.56 is: 8,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.50 : 13,689.81 = 6,375.56 : x
  2. Step 2: Convert to fraction form
    9,918.50/13,689.81 = 6,375.56/x
  3. Step 3: Cross multiply
    9,918.50x = 13,689.81 × 6,375.56
  4. Step 4: Simplify right side
    9,918.50x = 87,280,136.59
  5. Step 5: Solve for x
    x = 87,280,136.59/9,918.50
  6. Step 6: Final answer
    x = 8,799.74

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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.