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Finding the Fourth Proportional to 4,620.85, 6,929.96 and 1,809.20

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Solution

The fourth proportional to 4,620.85, 6,929.96 and 1,809.20 is: 2,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.85 : 6,929.96 = 1,809.20 : x
  2. Step 2: Convert to fraction form
    4,620.85/6,929.96 = 1,809.20/x
  3. Step 3: Cross multiply
    4,620.85x = 6,929.96 × 1,809.20
  4. Step 4: Simplify right side
    4,620.85x = 12,537,691.91
  5. Step 5: Solve for x
    x = 12,537,691.91/4,620.85
  6. Step 6: Final answer
    x = 2,713.29

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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.