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Finding the Fourth Proportional to 8,449.96, 11,644.50 and 6,087.64

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Solution

The fourth proportional to 8,449.96, 11,644.50 and 6,087.64 is: 8,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.96 : 11,644.50 = 6,087.64 : x
  2. Step 2: Convert to fraction form
    8,449.96/11,644.50 = 6,087.64/x
  3. Step 3: Cross multiply
    8,449.96x = 11,644.50 × 6,087.64
  4. Step 4: Simplify right side
    8,449.96x = 70,887,523.98
  5. Step 5: Solve for x
    x = 70,887,523.98/8,449.96
  6. Step 6: Final answer
    x = 8,389.10

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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.