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Finding the Fourth Proportional to 3,763.69, 5,642.20 and 1,913.85

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Solution

The fourth proportional to 3,763.69, 5,642.20 and 1,913.85 is: 2,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.69 : 5,642.20 = 1,913.85 : x
  2. Step 2: Convert to fraction form
    3,763.69/5,642.20 = 1,913.85/x
  3. Step 3: Cross multiply
    3,763.69x = 5,642.20 × 1,913.85
  4. Step 4: Simplify right side
    3,763.69x = 10,798,324.47
  5. Step 5: Solve for x
    x = 10,798,324.47/3,763.69
  6. Step 6: Final answer
    x = 2,869.08

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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.