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Finding the Fourth Proportional to 3,829.69, 5,743.50 and 1,364.20

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Solution

The fourth proportional to 3,829.69, 5,743.50 and 1,364.20 is: 2,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.69 : 5,743.50 = 1,364.20 : x
  2. Step 2: Convert to fraction form
    3,829.69/5,743.50 = 1,364.20/x
  3. Step 3: Cross multiply
    3,829.69x = 5,743.50 × 1,364.20
  4. Step 4: Simplify right side
    3,829.69x = 7,835,282.70
  5. Step 5: Solve for x
    x = 7,835,282.70/3,829.69
  6. Step 6: Final answer
    x = 2,045.93

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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.