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Finding the Fourth Proportional to 2,696.96, 4,053.12 and 1,601.60

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Solution

The fourth proportional to 2,696.96, 4,053.12 and 1,601.60 is: 2,406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.96 : 4,053.12 = 1,601.60 : x
  2. Step 2: Convert to fraction form
    2,696.96/4,053.12 = 1,601.60/x
  3. Step 3: Cross multiply
    2,696.96x = 4,053.12 × 1,601.60
  4. Step 4: Simplify right side
    2,696.96x = 6,491,476.99
  5. Step 5: Solve for x
    x = 6,491,476.99/2,696.96
  6. Step 6: Final answer
    x = 2,406.96

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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.