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Finding the Fourth Proportional to 7,323.08, 10,978.13 and 3,426.44

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Solution

The fourth proportional to 7,323.08, 10,978.13 and 3,426.44 is: 5,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.08 : 10,978.13 = 3,426.44 : x
  2. Step 2: Convert to fraction form
    7,323.08/10,978.13 = 3,426.44/x
  3. Step 3: Cross multiply
    7,323.08x = 10,978.13 × 3,426.44
  4. Step 4: Simplify right side
    7,323.08x = 37,615,857.43
  5. Step 5: Solve for x
    x = 37,615,857.43/7,323.08
  6. Step 6: Final answer
    x = 5,136.62

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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.