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Finding the Fourth Proportional to 4,789.76, 7,189.34 and 3,147.48

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Solution

The fourth proportional to 4,789.76, 7,189.34 and 3,147.48 is: 4,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.76 : 7,189.34 = 3,147.48 : x
  2. Step 2: Convert to fraction form
    4,789.76/7,189.34 = 3,147.48/x
  3. Step 3: Cross multiply
    4,789.76x = 7,189.34 × 3,147.48
  4. Step 4: Simplify right side
    4,789.76x = 22,628,288.13
  5. Step 5: Solve for x
    x = 22,628,288.13/4,789.76
  6. Step 6: Final answer
    x = 4,724.31

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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.