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Finding the Fourth Proportional to 3,786.81, 5,681.22 and 2,698.08

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Solution

The fourth proportional to 3,786.81, 5,681.22 and 2,698.08 is: 4,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.81 : 5,681.22 = 2,698.08 : x
  2. Step 2: Convert to fraction form
    3,786.81/5,681.22 = 2,698.08/x
  3. Step 3: Cross multiply
    3,786.81x = 5,681.22 × 2,698.08
  4. Step 4: Simplify right side
    3,786.81x = 15,328,386.06
  5. Step 5: Solve for x
    x = 15,328,386.06/3,786.81
  6. Step 6: Final answer
    x = 4,047.84

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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.