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Finding the Fourth Proportional to 20,647.27, 30,952.64 and 8,954.11

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Solution

The fourth proportional to 20,647.27, 30,952.64 and 8,954.11 is: 13,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.27 : 30,952.64 = 8,954.11 : x
  2. Step 2: Convert to fraction form
    20,647.27/30,952.64 = 8,954.11/x
  3. Step 3: Cross multiply
    20,647.27x = 30,952.64 × 8,954.11
  4. Step 4: Simplify right side
    20,647.27x = 277,153,143.82
  5. Step 5: Solve for x
    x = 277,153,143.82/20,647.27
  6. Step 6: Final answer
    x = 13,423.24

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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.