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Finding the Fourth Proportional to 2,114.94, 3,172.62 and 728.09

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Solution

The fourth proportional to 2,114.94, 3,172.62 and 728.09 is: 1,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.94 : 3,172.62 = 728.09 : x
  2. Step 2: Convert to fraction form
    2,114.94/3,172.62 = 728.09/x
  3. Step 3: Cross multiply
    2,114.94x = 3,172.62 × 728.09
  4. Step 4: Simplify right side
    2,114.94x = 2,309,941.32
  5. Step 5: Solve for x
    x = 2,309,941.32/2,114.94
  6. Step 6: Final answer
    x = 1,092.20

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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.