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Finding the Fourth Proportional to 3,817.82, 5,726.64 and 1,868.66

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Solution

The fourth proportional to 3,817.82, 5,726.64 and 1,868.66 is: 2,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.82 : 5,726.64 = 1,868.66 : x
  2. Step 2: Convert to fraction form
    3,817.82/5,726.64 = 1,868.66/x
  3. Step 3: Cross multiply
    3,817.82x = 5,726.64 × 1,868.66
  4. Step 4: Simplify right side
    3,817.82x = 10,701,114.47
  5. Step 5: Solve for x
    x = 10,701,114.47/3,817.82
  6. Step 6: Final answer
    x = 2,802.94

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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.