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Finding the Fourth Proportional to 8,647.26, 12,974.73 and 4,202.94

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Solution

The fourth proportional to 8,647.26, 12,974.73 and 4,202.94 is: 6,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.26 : 12,974.73 = 4,202.94 : x
  2. Step 2: Convert to fraction form
    8,647.26/12,974.73 = 4,202.94/x
  3. Step 3: Cross multiply
    8,647.26x = 12,974.73 × 4,202.94
  4. Step 4: Simplify right side
    8,647.26x = 54,532,011.71
  5. Step 5: Solve for x
    x = 54,532,011.71/8,647.26
  6. Step 6: Final answer
    x = 6,306.28

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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.