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Finding the Fourth Proportional to 21,978.68, 32,970.31 and 6,396.30

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Solution

The fourth proportional to 21,978.68, 32,970.31 and 6,396.30 is: 9,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.68 : 32,970.31 = 6,396.30 : x
  2. Step 2: Convert to fraction form
    21,978.68/32,970.31 = 6,396.30/x
  3. Step 3: Cross multiply
    21,978.68x = 32,970.31 × 6,396.30
  4. Step 4: Simplify right side
    21,978.68x = 210,887,977.86
  5. Step 5: Solve for x
    x = 210,887,977.86/21,978.68
  6. Step 6: Final answer
    x = 9,595.12

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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.