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Finding the Fourth Proportional to 20,656.00, 30,978.46 and 8,966.44

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Solution

The fourth proportional to 20,656.00, 30,978.46 and 8,966.44 is: 13,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.00 : 30,978.46 = 8,966.44 : x
  2. Step 2: Convert to fraction form
    20,656.00/30,978.46 = 8,966.44/x
  3. Step 3: Cross multiply
    20,656.00x = 30,978.46 × 8,966.44
  4. Step 4: Simplify right side
    20,656.00x = 277,766,436.64
  5. Step 5: Solve for x
    x = 277,766,436.64/20,656.00
  6. Step 6: Final answer
    x = 13,447.25

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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.