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Finding the Fourth Proportional to 8,185.64, 12,263.78 and 4,974.09

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Solution

The fourth proportional to 8,185.64, 12,263.78 and 4,974.09 is: 7,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.64 : 12,263.78 = 4,974.09 : x
  2. Step 2: Convert to fraction form
    8,185.64/12,263.78 = 4,974.09/x
  3. Step 3: Cross multiply
    8,185.64x = 12,263.78 × 4,974.09
  4. Step 4: Simplify right side
    8,185.64x = 61,001,145.46
  5. Step 5: Solve for x
    x = 61,001,145.46/8,185.64
  6. Step 6: Final answer
    x = 7,452.21

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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.