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Finding the Fourth Proportional to 1,696.50, 2,537.72 and 1,592.82

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Solution

The fourth proportional to 1,696.50, 2,537.72 and 1,592.82 is: 2,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.50 : 2,537.72 = 1,592.82 : x
  2. Step 2: Convert to fraction form
    1,696.50/2,537.72 = 1,592.82/x
  3. Step 3: Cross multiply
    1,696.50x = 2,537.72 × 1,592.82
  4. Step 4: Simplify right side
    1,696.50x = 4,042,123.21
  5. Step 5: Solve for x
    x = 4,042,123.21/1,696.50
  6. Step 6: Final answer
    x = 2,382.62

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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.