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Finding the Fourth Proportional to 4,679.81, 6,458.16 and 2,690.49

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Solution

The fourth proportional to 4,679.81, 6,458.16 and 2,690.49 is: 3,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.81 : 6,458.16 = 2,690.49 : x
  2. Step 2: Convert to fraction form
    4,679.81/6,458.16 = 2,690.49/x
  3. Step 3: Cross multiply
    4,679.81x = 6,458.16 × 2,690.49
  4. Step 4: Simplify right side
    4,679.81x = 17,375,590.68
  5. Step 5: Solve for x
    x = 17,375,590.68/4,679.81
  6. Step 6: Final answer
    x = 3,712.88

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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.