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Finding the Fourth Proportional to 7,862.90, 11,786.42 and 3,908.07

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Solution

The fourth proportional to 7,862.90, 11,786.42 and 3,908.07 is: 5,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.90 : 11,786.42 = 3,908.07 : x
  2. Step 2: Convert to fraction form
    7,862.90/11,786.42 = 3,908.07/x
  3. Step 3: Cross multiply
    7,862.90x = 11,786.42 × 3,908.07
  4. Step 4: Simplify right side
    7,862.90x = 46,062,164.18
  5. Step 5: Solve for x
    x = 46,062,164.18/7,862.90
  6. Step 6: Final answer
    x = 5,858.17

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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.