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Finding the Fourth Proportional to 4,620, 6,930 and 1,847.91

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Solution

The fourth proportional to 4,620, 6,930 and 1,847.91 is: 2,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620 : 6,930 = 1,847.91 : x
  2. Step 2: Convert to fraction form
    4,620/6,930 = 1,847.91/x
  3. Step 3: Cross multiply
    4,620x = 6,930 × 1,847.91
  4. Step 4: Simplify right side
    4,620x = 12,806,016.30
  5. Step 5: Solve for x
    x = 12,806,016.30/4,620
  6. Step 6: Final answer
    x = 2,771.87

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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.