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Finding the Fourth Proportional to 8,234.39, 11,355.94 and 7,043.87

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Solution

The fourth proportional to 8,234.39, 11,355.94 and 7,043.87 is: 9,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.39 : 11,355.94 = 7,043.87 : x
  2. Step 2: Convert to fraction form
    8,234.39/11,355.94 = 7,043.87/x
  3. Step 3: Cross multiply
    8,234.39x = 11,355.94 × 7,043.87
  4. Step 4: Simplify right side
    8,234.39x = 79,989,765.09
  5. Step 5: Solve for x
    x = 79,989,765.09/8,234.39
  6. Step 6: Final answer
    x = 9,714.11

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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.