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Finding the Fourth Proportional to 6,791.41, 9,373.02 and 4,138.75

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Solution

The fourth proportional to 6,791.41, 9,373.02 and 4,138.75 is: 5,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.41 : 9,373.02 = 4,138.75 : x
  2. Step 2: Convert to fraction form
    6,791.41/9,373.02 = 4,138.75/x
  3. Step 3: Cross multiply
    6,791.41x = 9,373.02 × 4,138.75
  4. Step 4: Simplify right side
    6,791.41x = 38,792,539.66
  5. Step 5: Solve for x
    x = 38,792,539.66/6,791.41
  6. Step 6: Final answer
    x = 5,712.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.