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Finding the Fourth Proportional to 7,842.02, 11,757.56 and 3,944.30

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Solution

The fourth proportional to 7,842.02, 11,757.56 and 3,944.30 is: 5,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.02 : 11,757.56 = 3,944.30 : x
  2. Step 2: Convert to fraction form
    7,842.02/11,757.56 = 3,944.30/x
  3. Step 3: Cross multiply
    7,842.02x = 11,757.56 × 3,944.30
  4. Step 4: Simplify right side
    7,842.02x = 46,375,265.40
  5. Step 5: Solve for x
    x = 46,375,265.40/7,842.02
  6. Step 6: Final answer
    x = 5,913.69

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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.