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Finding the Fourth Proportional to 21,654.83, 32,479.36 and 6,865.24

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Solution

The fourth proportional to 21,654.83, 32,479.36 and 6,865.24 is: 10,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.83 : 32,479.36 = 6,865.24 : x
  2. Step 2: Convert to fraction form
    21,654.83/32,479.36 = 6,865.24/x
  3. Step 3: Cross multiply
    21,654.83x = 32,479.36 × 6,865.24
  4. Step 4: Simplify right side
    21,654.83x = 222,978,601.45
  5. Step 5: Solve for x
    x = 222,978,601.45/21,654.83
  6. Step 6: Final answer
    x = 10,296.95

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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.