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Finding the Fourth Proportional to 6,727, 10,087.86 and 3,954.36

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Solution

The fourth proportional to 6,727, 10,087.86 and 3,954.36 is: 5,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727 : 10,087.86 = 3,954.36 : x
  2. Step 2: Convert to fraction form
    6,727/10,087.86 = 3,954.36/x
  3. Step 3: Cross multiply
    6,727x = 10,087.86 × 3,954.36
  4. Step 4: Simplify right side
    6,727x = 39,891,030.07
  5. Step 5: Solve for x
    x = 39,891,030.07/6,727
  6. Step 6: Final answer
    x = 5,929.99

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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.