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Finding the Fourth Proportional to 2,189.64, 3,285.80 and 1,267

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Solution

The fourth proportional to 2,189.64, 3,285.80 and 1,267 is: 1,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.64 : 3,285.80 = 1,267 : x
  2. Step 2: Convert to fraction form
    2,189.64/3,285.80 = 1,267/x
  3. Step 3: Cross multiply
    2,189.64x = 3,285.80 × 1,267
  4. Step 4: Simplify right side
    2,189.64x = 4,163,108.60
  5. Step 5: Solve for x
    x = 4,163,108.60/2,189.64
  6. Step 6: Final answer
    x = 1,901.28

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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.