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Finding the Fourth Proportional to 6,410.34, 8,847.29 and 3,721.61

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Solution

The fourth proportional to 6,410.34, 8,847.29 and 3,721.61 is: 5,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.34 : 8,847.29 = 3,721.61 : x
  2. Step 2: Convert to fraction form
    6,410.34/8,847.29 = 3,721.61/x
  3. Step 3: Cross multiply
    6,410.34x = 8,847.29 × 3,721.61
  4. Step 4: Simplify right side
    6,410.34x = 32,926,194.36
  5. Step 5: Solve for x
    x = 32,926,194.36/6,410.34
  6. Step 6: Final answer
    x = 5,136.42

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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.