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Finding the Fourth Proportional to 8,642.27, 12,968.45 and 3,644.34

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Solution

The fourth proportional to 8,642.27, 12,968.45 and 3,644.34 is: 5,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.27 : 12,968.45 = 3,644.34 : x
  2. Step 2: Convert to fraction form
    8,642.27/12,968.45 = 3,644.34/x
  3. Step 3: Cross multiply
    8,642.27x = 12,968.45 × 3,644.34
  4. Step 4: Simplify right side
    8,642.27x = 47,261,422.85
  5. Step 5: Solve for x
    x = 47,261,422.85/8,642.27
  6. Step 6: Final answer
    x = 5,468.64

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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.