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Finding the Fourth Proportional to 2,696.78, 4,045.22 and 847.85

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Solution

The fourth proportional to 2,696.78, 4,045.22 and 847.85 is: 1,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.78 : 4,045.22 = 847.85 : x
  2. Step 2: Convert to fraction form
    2,696.78/4,045.22 = 847.85/x
  3. Step 3: Cross multiply
    2,696.78x = 4,045.22 × 847.85
  4. Step 4: Simplify right side
    2,696.78x = 3,429,739.78
  5. Step 5: Solve for x
    x = 3,429,739.78/2,696.78
  6. Step 6: Final answer
    x = 1,271.79

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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.