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Finding the Fourth Proportional to 5,130.78, 7,695.21 and 3,194.94

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Solution

The fourth proportional to 5,130.78, 7,695.21 and 3,194.94 is: 4,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.78 : 7,695.21 = 3,194.94 : x
  2. Step 2: Convert to fraction form
    5,130.78/7,695.21 = 3,194.94/x
  3. Step 3: Cross multiply
    5,130.78x = 7,695.21 × 3,194.94
  4. Step 4: Simplify right side
    5,130.78x = 24,585,734.24
  5. Step 5: Solve for x
    x = 24,585,734.24/5,130.78
  6. Step 6: Final answer
    x = 4,791.81

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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.