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Finding the Fourth Proportional to 9,918.10, 14,861.94 and 6,787

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Solution

The fourth proportional to 9,918.10, 14,861.94 and 6,787 is: 10,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.10 : 14,861.94 = 6,787 : x
  2. Step 2: Convert to fraction form
    9,918.10/14,861.94 = 6,787/x
  3. Step 3: Cross multiply
    9,918.10x = 14,861.94 × 6,787
  4. Step 4: Simplify right side
    9,918.10x = 100,867,986.78
  5. Step 5: Solve for x
    x = 100,867,986.78/9,918.10
  6. Step 6: Final answer
    x = 10,170.09

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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.