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Finding the Fourth Proportional to 3,076.88, 4,246.11 and 1,679.63

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Solution

The fourth proportional to 3,076.88, 4,246.11 and 1,679.63 is: 2,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.88 : 4,246.11 = 1,679.63 : x
  2. Step 2: Convert to fraction form
    3,076.88/4,246.11 = 1,679.63/x
  3. Step 3: Cross multiply
    3,076.88x = 4,246.11 × 1,679.63
  4. Step 4: Simplify right side
    3,076.88x = 7,131,872.51
  5. Step 5: Solve for x
    x = 7,131,872.51/3,076.88
  6. Step 6: Final answer
    x = 2,317.89

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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.