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Finding the Fourth Proportional to 2,114.36, 3,171.62 and 728.65

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Solution

The fourth proportional to 2,114.36, 3,171.62 and 728.65 is: 1,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.36 : 3,171.62 = 728.65 : x
  2. Step 2: Convert to fraction form
    2,114.36/3,171.62 = 728.65/x
  3. Step 3: Cross multiply
    2,114.36x = 3,171.62 × 728.65
  4. Step 4: Simplify right side
    2,114.36x = 2,310,989.34
  5. Step 5: Solve for x
    x = 2,310,989.34/2,114.36
  6. Step 6: Final answer
    x = 1,093.00

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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.