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Finding the Fourth Proportional to 8,212.64, 12,266.54 and 7,431.44

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Solution

The fourth proportional to 8,212.64, 12,266.54 and 7,431.44 is: 11,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.64 : 12,266.54 = 7,431.44 : x
  2. Step 2: Convert to fraction form
    8,212.64/12,266.54 = 7,431.44/x
  3. Step 3: Cross multiply
    8,212.64x = 12,266.54 × 7,431.44
  4. Step 4: Simplify right side
    8,212.64x = 91,158,056.02
  5. Step 5: Solve for x
    x = 91,158,056.02/8,212.64
  6. Step 6: Final answer
    x = 11,099.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.