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Finding the Fourth Proportional to 7,625.64, 11,431.12 and 2,942.20

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Solution

The fourth proportional to 7,625.64, 11,431.12 and 2,942.20 is: 4,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.64 : 11,431.12 = 2,942.20 : x
  2. Step 2: Convert to fraction form
    7,625.64/11,431.12 = 2,942.20/x
  3. Step 3: Cross multiply
    7,625.64x = 11,431.12 × 2,942.20
  4. Step 4: Simplify right side
    7,625.64x = 33,632,641.26
  5. Step 5: Solve for x
    x = 33,632,641.26/7,625.64
  6. Step 6: Final answer
    x = 4,410.47

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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.