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Finding the Fourth Proportional to 2,157.86, 3,236.58 and 696.21

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Solution

The fourth proportional to 2,157.86, 3,236.58 and 696.21 is: 1,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.86 : 3,236.58 = 696.21 : x
  2. Step 2: Convert to fraction form
    2,157.86/3,236.58 = 696.21/x
  3. Step 3: Cross multiply
    2,157.86x = 3,236.58 × 696.21
  4. Step 4: Simplify right side
    2,157.86x = 2,253,339.36
  5. Step 5: Solve for x
    x = 2,253,339.36/2,157.86
  6. Step 6: Final answer
    x = 1,044.25

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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.