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Finding the Fourth Proportional to 2,114.85, 3,172.38 and 728.32

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Solution

The fourth proportional to 2,114.85, 3,172.38 and 728.32 is: 1,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.85 : 3,172.38 = 728.32 : x
  2. Step 2: Convert to fraction form
    2,114.85/3,172.38 = 728.32/x
  3. Step 3: Cross multiply
    2,114.85x = 3,172.38 × 728.32
  4. Step 4: Simplify right side
    2,114.85x = 2,310,507.80
  5. Step 5: Solve for x
    x = 2,310,507.80/2,114.85
  6. Step 6: Final answer
    x = 1,092.52

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1.5x scale

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.