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Finding the Fourth Proportional to 2,140.26, 3,208.50 and 840.75

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Solution

The fourth proportional to 2,140.26, 3,208.50 and 840.75 is: 1,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.26 : 3,208.50 = 840.75 : x
  2. Step 2: Convert to fraction form
    2,140.26/3,208.50 = 840.75/x
  3. Step 3: Cross multiply
    2,140.26x = 3,208.50 × 840.75
  4. Step 4: Simplify right side
    2,140.26x = 2,697,546.38
  5. Step 5: Solve for x
    x = 2,697,546.38/2,140.26
  6. Step 6: Final answer
    x = 1,260.38

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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.