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Finding the Fourth Proportional to 4,689.54, 7,034.31 and 2,057.85

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Solution

The fourth proportional to 4,689.54, 7,034.31 and 2,057.85 is: 3,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.54 : 7,034.31 = 2,057.85 : x
  2. Step 2: Convert to fraction form
    4,689.54/7,034.31 = 2,057.85/x
  3. Step 3: Cross multiply
    4,689.54x = 7,034.31 × 2,057.85
  4. Step 4: Simplify right side
    4,689.54x = 14,475,554.83
  5. Step 5: Solve for x
    x = 14,475,554.83/4,689.54
  6. Step 6: Final answer
    x = 3,086.78

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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.