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Finding the Fourth Proportional to 6,408.97, 8,787.91 and 5,776.94

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Solution

The fourth proportional to 6,408.97, 8,787.91 and 5,776.94 is: 7,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.97 : 8,787.91 = 5,776.94 : x
  2. Step 2: Convert to fraction form
    6,408.97/8,787.91 = 5,776.94/x
  3. Step 3: Cross multiply
    6,408.97x = 8,787.91 × 5,776.94
  4. Step 4: Simplify right side
    6,408.97x = 50,767,228.80
  5. Step 5: Solve for x
    x = 50,767,228.80/6,408.97
  6. Step 6: Final answer
    x = 7,921.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.