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Finding the Fourth Proportional to 2,913.15, 4,369.90 and 833.00

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Solution

The fourth proportional to 2,913.15, 4,369.90 and 833.00 is: 1,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.15 : 4,369.90 = 833.00 : x
  2. Step 2: Convert to fraction form
    2,913.15/4,369.90 = 833.00/x
  3. Step 3: Cross multiply
    2,913.15x = 4,369.90 × 833.00
  4. Step 4: Simplify right side
    2,913.15x = 3,640,104.85
  5. Step 5: Solve for x
    x = 3,640,104.85/2,913.15
  6. Step 6: Final answer
    x = 1,249.54

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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.