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Finding the Fourth Proportional to 2,093.73, 3,140.62 and 860.86

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Solution

The fourth proportional to 2,093.73, 3,140.62 and 860.86 is: 1,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.73 : 3,140.62 = 860.86 : x
  2. Step 2: Convert to fraction form
    2,093.73/3,140.62 = 860.86/x
  3. Step 3: Cross multiply
    2,093.73x = 3,140.62 × 860.86
  4. Step 4: Simplify right side
    2,093.73x = 2,703,640.75
  5. Step 5: Solve for x
    x = 2,703,640.75/2,093.73
  6. Step 6: Final answer
    x = 1,291.30

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1.5x scale

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.