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Finding the Fourth Proportional to 30,151.44, 45,229.33 and 7,964.60

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Solution

The fourth proportional to 30,151.44, 45,229.33 and 7,964.60 is: 11,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.44 : 45,229.33 = 7,964.60 : x
  2. Step 2: Convert to fraction form
    30,151.44/45,229.33 = 7,964.60/x
  3. Step 3: Cross multiply
    30,151.44x = 45,229.33 × 7,964.60
  4. Step 4: Simplify right side
    30,151.44x = 360,233,481.90
  5. Step 5: Solve for x
    x = 360,233,481.90/30,151.44
  6. Step 6: Final answer
    x = 11,947.47

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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.