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Finding the Fourth Proportional to 8,642.41, 12,968.64 and 3,644.47

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Solution

The fourth proportional to 8,642.41, 12,968.64 and 3,644.47 is: 5,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.41 : 12,968.64 = 3,644.47 : x
  2. Step 2: Convert to fraction form
    8,642.41/12,968.64 = 3,644.47/x
  3. Step 3: Cross multiply
    8,642.41x = 12,968.64 × 3,644.47
  4. Step 4: Simplify right side
    8,642.41x = 47,263,736.36
  5. Step 5: Solve for x
    x = 47,263,736.36/8,642.41
  6. Step 6: Final answer
    x = 5,468.82

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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.