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Finding the Fourth Proportional to 3,094.26, 4,641.38 and 785.76

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Solution

The fourth proportional to 3,094.26, 4,641.38 and 785.76 is: 1,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.26 : 4,641.38 = 785.76 : x
  2. Step 2: Convert to fraction form
    3,094.26/4,641.38 = 785.76/x
  3. Step 3: Cross multiply
    3,094.26x = 4,641.38 × 785.76
  4. Step 4: Simplify right side
    3,094.26x = 3,647,010.75
  5. Step 5: Solve for x
    x = 3,647,010.75/3,094.26
  6. Step 6: Final answer
    x = 1,178.64

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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.