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Finding the Fourth Proportional to 7,843.50, 11,770.11 and 4,558.14

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Solution

The fourth proportional to 7,843.50, 11,770.11 and 4,558.14 is: 6,840.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.50 : 11,770.11 = 4,558.14 : x
  2. Step 2: Convert to fraction form
    7,843.50/11,770.11 = 4,558.14/x
  3. Step 3: Cross multiply
    7,843.50x = 11,770.11 × 4,558.14
  4. Step 4: Simplify right side
    7,843.50x = 53,649,809.20
  5. Step 5: Solve for x
    x = 53,649,809.20/7,843.50
  6. Step 6: Final answer
    x = 6,840.03

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1.5x scale

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.