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Finding the Fourth Proportional to 5,141.36, 7,696.68 and 3,839.60

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Solution

The fourth proportional to 5,141.36, 7,696.68 and 3,839.60 is: 5,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.36 : 7,696.68 = 3,839.60 : x
  2. Step 2: Convert to fraction form
    5,141.36/7,696.68 = 3,839.60/x
  3. Step 3: Cross multiply
    5,141.36x = 7,696.68 × 3,839.60
  4. Step 4: Simplify right side
    5,141.36x = 29,552,172.53
  5. Step 5: Solve for x
    x = 29,552,172.53/5,141.36
  6. Step 6: Final answer
    x = 5,747.93

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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.