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Finding the Fourth Proportional to 3,093.59, 4,640.40 and 785.09

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Solution

The fourth proportional to 3,093.59, 4,640.40 and 785.09 is: 1,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.59 : 4,640.40 = 785.09 : x
  2. Step 2: Convert to fraction form
    3,093.59/4,640.40 = 785.09/x
  3. Step 3: Cross multiply
    3,093.59x = 4,640.40 × 785.09
  4. Step 4: Simplify right side
    3,093.59x = 3,643,131.64
  5. Step 5: Solve for x
    x = 3,643,131.64/3,093.59
  6. Step 6: Final answer
    x = 1,177.64

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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.