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Finding the Fourth Proportional to 3,093.80, 4,640.70 and 785.30

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Solution

The fourth proportional to 3,093.80, 4,640.70 and 785.30 is: 1,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.80 : 4,640.70 = 785.30 : x
  2. Step 2: Convert to fraction form
    3,093.80/4,640.70 = 785.30/x
  3. Step 3: Cross multiply
    3,093.80x = 4,640.70 × 785.30
  4. Step 4: Simplify right side
    3,093.80x = 3,644,341.71
  5. Step 5: Solve for x
    x = 3,644,341.71/3,093.80
  6. Step 6: Final answer
    x = 1,177.95

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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.