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Finding the Fourth Proportional to 2,157.80, 3,238.26 and 859.64

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Solution

The fourth proportional to 2,157.80, 3,238.26 and 859.64 is: 1,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.80 : 3,238.26 = 859.64 : x
  2. Step 2: Convert to fraction form
    2,157.80/3,238.26 = 859.64/x
  3. Step 3: Cross multiply
    2,157.80x = 3,238.26 × 859.64
  4. Step 4: Simplify right side
    2,157.80x = 2,783,737.83
  5. Step 5: Solve for x
    x = 2,783,737.83/2,157.80
  6. Step 6: Final answer
    x = 1,290.08

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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.