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Finding the Fourth Proportional to 2,114.74, 3,172.11 and 1,651.83

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Solution

The fourth proportional to 2,114.74, 3,172.11 and 1,651.83 is: 2,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.74 : 3,172.11 = 1,651.83 : x
  2. Step 2: Convert to fraction form
    2,114.74/3,172.11 = 1,651.83/x
  3. Step 3: Cross multiply
    2,114.74x = 3,172.11 × 1,651.83
  4. Step 4: Simplify right side
    2,114.74x = 5,239,786.46
  5. Step 5: Solve for x
    x = 5,239,786.46/2,114.74
  6. Step 6: Final answer
    x = 2,477.75

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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.