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Finding the Fourth Proportional to 20,978.60, 31,468.26 and 5,396.36

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Solution

The fourth proportional to 20,978.60, 31,468.26 and 5,396.36 is: 8,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.60 : 31,468.26 = 5,396.36 : x
  2. Step 2: Convert to fraction form
    20,978.60/31,468.26 = 5,396.36/x
  3. Step 3: Cross multiply
    20,978.60x = 31,468.26 × 5,396.36
  4. Step 4: Simplify right side
    20,978.60x = 169,814,059.53
  5. Step 5: Solve for x
    x = 169,814,059.53/20,978.60
  6. Step 6: Final answer
    x = 8,094.63

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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.