Home / 2,832.96-3,913.16-2,156.66

Finding the Fourth Proportional to 2,832.96, 3,913.16 and 2,156.66

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Solution

The fourth proportional to 2,832.96, 3,913.16 and 2,156.66 is: 2,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.96 : 3,913.16 = 2,156.66 : x
  2. Step 2: Convert to fraction form
    2,832.96/3,913.16 = 2,156.66/x
  3. Step 3: Cross multiply
    2,832.96x = 3,913.16 × 2,156.66
  4. Step 4: Simplify right side
    2,832.96x = 8,439,355.65
  5. Step 5: Solve for x
    x = 8,439,355.65/2,832.96
  6. Step 6: Final answer
    x = 2,978.99

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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.