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Finding the Fourth Proportional to 2,877.16, 4,315.83 and 796.99

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Solution

The fourth proportional to 2,877.16, 4,315.83 and 796.99 is: 1,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.16 : 4,315.83 = 796.99 : x
  2. Step 2: Convert to fraction form
    2,877.16/4,315.83 = 796.99/x
  3. Step 3: Cross multiply
    2,877.16x = 4,315.83 × 796.99
  4. Step 4: Simplify right side
    2,877.16x = 3,439,673.35
  5. Step 5: Solve for x
    x = 3,439,673.35/2,877.16
  6. Step 6: Final answer
    x = 1,195.51

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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.