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Finding the Fourth Proportional to 21,978.54, 32,967.26 and 6,396.30

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Solution

The fourth proportional to 21,978.54, 32,967.26 and 6,396.30 is: 9,594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.54 : 32,967.26 = 6,396.30 : x
  2. Step 2: Convert to fraction form
    21,978.54/32,967.26 = 6,396.30/x
  3. Step 3: Cross multiply
    21,978.54x = 32,967.26 × 6,396.30
  4. Step 4: Simplify right side
    21,978.54x = 210,868,485.14
  5. Step 5: Solve for x
    x = 210,868,485.14/21,978.54
  6. Step 6: Final answer
    x = 9,594.29

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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.