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Finding the Fourth Proportional to 7,847.74, 11,771.58 and 3,687.74

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Solution

The fourth proportional to 7,847.74, 11,771.58 and 3,687.74 is: 5,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.74 : 11,771.58 = 3,687.74 : x
  2. Step 2: Convert to fraction form
    7,847.74/11,771.58 = 3,687.74/x
  3. Step 3: Cross multiply
    7,847.74x = 11,771.58 × 3,687.74
  4. Step 4: Simplify right side
    7,847.74x = 43,410,526.43
  5. Step 5: Solve for x
    x = 43,410,526.43/7,847.74
  6. Step 6: Final answer
    x = 5,531.60

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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.