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Finding the Fourth Proportional to 7,880.97, 11,821.47 and 5,408.31

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Solution

The fourth proportional to 7,880.97, 11,821.47 and 5,408.31 is: 8,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.97 : 11,821.47 = 5,408.31 : x
  2. Step 2: Convert to fraction form
    7,880.97/11,821.47 = 5,408.31/x
  3. Step 3: Cross multiply
    7,880.97x = 11,821.47 × 5,408.31
  4. Step 4: Simplify right side
    7,880.97x = 63,934,174.42
  5. Step 5: Solve for x
    x = 63,934,174.42/7,880.97
  6. Step 6: Final answer
    x = 8,112.48

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Similar ratio
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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.