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Finding the Fourth Proportional to 1,636.38, 2,453.11 and 1,172.99

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Solution

The fourth proportional to 1,636.38, 2,453.11 and 1,172.99 is: 1,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.38 : 2,453.11 = 1,172.99 : x
  2. Step 2: Convert to fraction form
    1,636.38/2,453.11 = 1,172.99/x
  3. Step 3: Cross multiply
    1,636.38x = 2,453.11 × 1,172.99
  4. Step 4: Simplify right side
    1,636.38x = 2,877,473.50
  5. Step 5: Solve for x
    x = 2,877,473.50/1,636.38
  6. Step 6: Final answer
    x = 1,758.44

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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.