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Finding the Fourth Proportional to 8,499.56, 12,732.93 and 4,120.09

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Solution

The fourth proportional to 8,499.56, 12,732.93 and 4,120.09 is: 6,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.56 : 12,732.93 = 4,120.09 : x
  2. Step 2: Convert to fraction form
    8,499.56/12,732.93 = 4,120.09/x
  3. Step 3: Cross multiply
    8,499.56x = 12,732.93 × 4,120.09
  4. Step 4: Simplify right side
    8,499.56x = 52,460,785.73
  5. Step 5: Solve for x
    x = 52,460,785.73/8,499.56
  6. Step 6: Final answer
    x = 6,172.18

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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.