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Finding the Fourth Proportional to 14,620, 21,930 and 4,231.84

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Solution

The fourth proportional to 14,620, 21,930 and 4,231.84 is: 6,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620 : 21,930 = 4,231.84 : x
  2. Step 2: Convert to fraction form
    14,620/21,930 = 4,231.84/x
  3. Step 3: Cross multiply
    14,620x = 21,930 × 4,231.84
  4. Step 4: Simplify right side
    14,620x = 92,804,251.20
  5. Step 5: Solve for x
    x = 92,804,251.20/14,620
  6. Step 6: Final answer
    x = 6,347.76

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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.