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Finding the Fourth Proportional to 8,311.60, 11,469 and 4,585.36

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Solution

The fourth proportional to 8,311.60, 11,469 and 4,585.36 is: 6,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.60 : 11,469 = 4,585.36 : x
  2. Step 2: Convert to fraction form
    8,311.60/11,469 = 4,585.36/x
  3. Step 3: Cross multiply
    8,311.60x = 11,469 × 4,585.36
  4. Step 4: Simplify right side
    8,311.60x = 52,589,493.84
  5. Step 5: Solve for x
    x = 52,589,493.84/8,311.60
  6. Step 6: Final answer
    x = 6,327.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.