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Finding the Fourth Proportional to 5,757.60, 7,947 and 3,400.44

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Solution

The fourth proportional to 5,757.60, 7,947 and 3,400.44 is: 4,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.60 : 7,947 = 3,400.44 : x
  2. Step 2: Convert to fraction form
    5,757.60/7,947 = 3,400.44/x
  3. Step 3: Cross multiply
    5,757.60x = 7,947 × 3,400.44
  4. Step 4: Simplify right side
    5,757.60x = 27,023,296.68
  5. Step 5: Solve for x
    x = 27,023,296.68/5,757.60
  6. Step 6: Final answer
    x = 4,693.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.