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Finding the Fourth Proportional to 3,093.50, 4,640.52 and 785

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Solution

The fourth proportional to 3,093.50, 4,640.52 and 785 is: 1,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.50 : 4,640.52 = 785 : x
  2. Step 2: Convert to fraction form
    3,093.50/4,640.52 = 785/x
  3. Step 3: Cross multiply
    3,093.50x = 4,640.52 × 785
  4. Step 4: Simplify right side
    3,093.50x = 3,642,808.20
  5. Step 5: Solve for x
    x = 3,642,808.20/3,093.50
  6. Step 6: Final answer
    x = 1,177.57

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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.