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Finding the Fourth Proportional to 8,938.53, 13,396.86 and 6,481.80

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Solution

The fourth proportional to 8,938.53, 13,396.86 and 6,481.80 is: 9,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.53 : 13,396.86 = 6,481.80 : x
  2. Step 2: Convert to fraction form
    8,938.53/13,396.86 = 6,481.80/x
  3. Step 3: Cross multiply
    8,938.53x = 13,396.86 × 6,481.80
  4. Step 4: Simplify right side
    8,938.53x = 86,835,767.15
  5. Step 5: Solve for x
    x = 86,835,767.15/8,938.53
  6. Step 6: Final answer
    x = 9,714.77

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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.