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Finding the Fourth Proportional to 3,093.70, 4,640.46 and 785.20

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Solution

The fourth proportional to 3,093.70, 4,640.46 and 785.20 is: 1,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.70 : 4,640.46 = 785.20 : x
  2. Step 2: Convert to fraction form
    3,093.70/4,640.46 = 785.20/x
  3. Step 3: Cross multiply
    3,093.70x = 4,640.46 × 785.20
  4. Step 4: Simplify right side
    3,093.70x = 3,643,689.19
  5. Step 5: Solve for x
    x = 3,643,689.19/3,093.70
  6. Step 6: Final answer
    x = 1,177.78

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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.