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Finding the Fourth Proportional to 20,643.54, 30,965.31 and 8,956.50

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Solution

The fourth proportional to 20,643.54, 30,965.31 and 8,956.50 is: 13,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.54 : 30,965.31 = 8,956.50 : x
  2. Step 2: Convert to fraction form
    20,643.54/30,965.31 = 8,956.50/x
  3. Step 3: Cross multiply
    20,643.54x = 30,965.31 × 8,956.50
  4. Step 4: Simplify right side
    20,643.54x = 277,340,799.02
  5. Step 5: Solve for x
    x = 277,340,799.02/20,643.54
  6. Step 6: Final answer
    x = 13,434.75

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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.