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Finding the Fourth Proportional to 2,159.56, 2,965.85 and 1,809.64

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Solution

The fourth proportional to 2,159.56, 2,965.85 and 1,809.64 is: 2,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.56 : 2,965.85 = 1,809.64 : x
  2. Step 2: Convert to fraction form
    2,159.56/2,965.85 = 1,809.64/x
  3. Step 3: Cross multiply
    2,159.56x = 2,965.85 × 1,809.64
  4. Step 4: Simplify right side
    2,159.56x = 5,367,120.79
  5. Step 5: Solve for x
    x = 5,367,120.79/2,159.56
  6. Step 6: Final answer
    x = 2,485.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.