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Finding the Fourth Proportional to 30,146.62, 45,219.24 and 7,961.56

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Solution

The fourth proportional to 30,146.62, 45,219.24 and 7,961.56 is: 11,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.62 : 45,219.24 = 7,961.56 : x
  2. Step 2: Convert to fraction form
    30,146.62/45,219.24 = 7,961.56/x
  3. Step 3: Cross multiply
    30,146.62x = 45,219.24 × 7,961.56
  4. Step 4: Simplify right side
    30,146.62x = 360,015,692.41
  5. Step 5: Solve for x
    x = 360,015,692.41/30,146.62
  6. Step 6: Final answer
    x = 11,942.16

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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.