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Finding the Fourth Proportional to 20,940, 31,424.40 and 8,628

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Solution

The fourth proportional to 20,940, 31,424.40 and 8,628 is: 12,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940 : 31,424.40 = 8,628 : x
  2. Step 2: Convert to fraction form
    20,940/31,424.40 = 8,628/x
  3. Step 3: Cross multiply
    20,940x = 31,424.40 × 8,628
  4. Step 4: Simplify right side
    20,940x = 271,129,723.20
  5. Step 5: Solve for x
    x = 271,129,723.20/20,940
  6. Step 6: Final answer
    x = 12,947.93

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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.