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Finding the Fourth Proportional to 8,212.32, 12,322.53 and 5,091.48

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Solution

The fourth proportional to 8,212.32, 12,322.53 and 5,091.48 is: 7,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.32 : 12,322.53 = 5,091.48 : x
  2. Step 2: Convert to fraction form
    8,212.32/12,322.53 = 5,091.48/x
  3. Step 3: Cross multiply
    8,212.32x = 12,322.53 × 5,091.48
  4. Step 4: Simplify right side
    8,212.32x = 62,739,915.04
  5. Step 5: Solve for x
    x = 62,739,915.04/8,212.32
  6. Step 6: Final answer
    x = 7,639.73

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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.