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Finding the Fourth Proportional to 4,930, 6,803.40 and 2,722

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Solution

The fourth proportional to 4,930, 6,803.40 and 2,722 is: 3,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930 : 6,803.40 = 2,722 : x
  2. Step 2: Convert to fraction form
    4,930/6,803.40 = 2,722/x
  3. Step 3: Cross multiply
    4,930x = 6,803.40 × 2,722
  4. Step 4: Simplify right side
    4,930x = 18,518,854.80
  5. Step 5: Solve for x
    x = 18,518,854.80/4,930
  6. Step 6: Final answer
    x = 3,756.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.