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Finding the Fourth Proportional to 8,918.14, 12,311.67 and 8,329.18

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Solution

The fourth proportional to 8,918.14, 12,311.67 and 8,329.18 is: 11,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,918.14 : 12,311.67 = 8,329.18 : x
  2. Step 2: Convert to fraction form
    8,918.14/12,311.67 = 8,329.18/x
  3. Step 3: Cross multiply
    8,918.14x = 12,311.67 × 8,329.18
  4. Step 4: Simplify right side
    8,918.14x = 102,546,115.53
  5. Step 5: Solve for x
    x = 102,546,115.53/8,918.14
  6. Step 6: Final answer
    x = 11,498.60

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1.5x scale

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.