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Finding the Fourth Proportional to 4,927.91, 6,800.42 and 2,689.79

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Solution

The fourth proportional to 4,927.91, 6,800.42 and 2,689.79 is: 3,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.91 : 6,800.42 = 2,689.79 : x
  2. Step 2: Convert to fraction form
    4,927.91/6,800.42 = 2,689.79/x
  3. Step 3: Cross multiply
    4,927.91x = 6,800.42 × 2,689.79
  4. Step 4: Simplify right side
    4,927.91x = 18,291,674.43
  5. Step 5: Solve for x
    x = 18,291,674.43/4,927.91
  6. Step 6: Final answer
    x = 3,711.86

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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.