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Finding the Fourth Proportional to 7,840.92, 11,759.22 and 5,631.24

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Solution

The fourth proportional to 7,840.92, 11,759.22 and 5,631.24 is: 8,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.92 : 11,759.22 = 5,631.24 : x
  2. Step 2: Convert to fraction form
    7,840.92/11,759.22 = 5,631.24/x
  3. Step 3: Cross multiply
    7,840.92x = 11,759.22 × 5,631.24
  4. Step 4: Simplify right side
    7,840.92x = 66,218,990.03
  5. Step 5: Solve for x
    x = 66,218,990.03/7,840.92
  6. Step 6: Final answer
    x = 8,445.31

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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.