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Finding the Fourth Proportional to 7,880.25, 11,822.31 and 2,408.25

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Solution

The fourth proportional to 7,880.25, 11,822.31 and 2,408.25 is: 3,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.25 : 11,822.31 = 2,408.25 : x
  2. Step 2: Convert to fraction form
    7,880.25/11,822.31 = 2,408.25/x
  3. Step 3: Cross multiply
    7,880.25x = 11,822.31 × 2,408.25
  4. Step 4: Simplify right side
    7,880.25x = 28,471,078.06
  5. Step 5: Solve for x
    x = 28,471,078.06/7,880.25
  6. Step 6: Final answer
    x = 3,612.97

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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.