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Finding the Fourth Proportional to 7,874.21, 10,866 and 4,336.73

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Solution

The fourth proportional to 7,874.21, 10,866 and 4,336.73 is: 5,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.21 : 10,866 = 4,336.73 : x
  2. Step 2: Convert to fraction form
    7,874.21/10,866 = 4,336.73/x
  3. Step 3: Cross multiply
    7,874.21x = 10,866 × 4,336.73
  4. Step 4: Simplify right side
    7,874.21x = 47,122,935.35
  5. Step 5: Solve for x
    x = 47,122,935.35/7,874.21
  6. Step 6: Final answer
    x = 5,984.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.