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Finding the Fourth Proportional to 4,846.91, 6,686.89 and 2,856.74

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Solution

The fourth proportional to 4,846.91, 6,686.89 and 2,856.74 is: 3,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.91 : 6,686.89 = 2,856.74 : x
  2. Step 2: Convert to fraction form
    4,846.91/6,686.89 = 2,856.74/x
  3. Step 3: Cross multiply
    4,846.91x = 6,686.89 × 2,856.74
  4. Step 4: Simplify right side
    4,846.91x = 19,102,665.56
  5. Step 5: Solve for x
    x = 19,102,665.56/4,846.91
  6. Step 6: Final answer
    x = 3,941.21

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