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Finding the Fourth Proportional to 7,841.42, 11,759.96 and 5,631.74

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Solution

The fourth proportional to 7,841.42, 11,759.96 and 5,631.74 is: 8,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.42 : 11,759.96 = 5,631.74 : x
  2. Step 2: Convert to fraction form
    7,841.42/11,759.96 = 5,631.74/x
  3. Step 3: Cross multiply
    7,841.42x = 11,759.96 × 5,631.74
  4. Step 4: Simplify right side
    7,841.42x = 66,229,037.13
  5. Step 5: Solve for x
    x = 66,229,037.13/7,841.42
  6. Step 6: Final answer
    x = 8,446.05

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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.