Home / 2,140.14-3,209.94-840.63

Finding the Fourth Proportional to 2,140.14, 3,209.94 and 840.63

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Solution

The fourth proportional to 2,140.14, 3,209.94 and 840.63 is: 1,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.14 : 3,209.94 = 840.63 : x
  2. Step 2: Convert to fraction form
    2,140.14/3,209.94 = 840.63/x
  3. Step 3: Cross multiply
    2,140.14x = 3,209.94 × 840.63
  4. Step 4: Simplify right side
    2,140.14x = 2,698,371.86
  5. Step 5: Solve for x
    x = 2,698,371.86/2,140.14
  6. Step 6: Final answer
    x = 1,260.84

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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.