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Finding the Fourth Proportional to 7,992.20, 11,974.94 and 5,648.32

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Solution

The fourth proportional to 7,992.20, 11,974.94 and 5,648.32 is: 8,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.20 : 11,974.94 = 5,648.32 : x
  2. Step 2: Convert to fraction form
    7,992.20/11,974.94 = 5,648.32/x
  3. Step 3: Cross multiply
    7,992.20x = 11,974.94 × 5,648.32
  4. Step 4: Simplify right side
    7,992.20x = 67,638,293.10
  5. Step 5: Solve for x
    x = 67,638,293.10/7,992.20
  6. Step 6: Final answer
    x = 8,463.04

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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.