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Finding the Fourth Proportional to 9,883.89, 13,631.90 and 8,396.73

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Solution

The fourth proportional to 9,883.89, 13,631.90 and 8,396.73 is: 11,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.89 : 13,631.90 = 8,396.73 : x
  2. Step 2: Convert to fraction form
    9,883.89/13,631.90 = 8,396.73/x
  3. Step 3: Cross multiply
    9,883.89x = 13,631.90 × 8,396.73
  4. Step 4: Simplify right side
    9,883.89x = 114,463,341.70
  5. Step 5: Solve for x
    x = 114,463,341.70/9,883.89
  6. Step 6: Final answer
    x = 11,580.80

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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.