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Finding the Fourth Proportional to 3,778.69, 5,668.05 and 1,313.53

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Solution

The fourth proportional to 3,778.69, 5,668.05 and 1,313.53 is: 1,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.69 : 5,668.05 = 1,313.53 : x
  2. Step 2: Convert to fraction form
    3,778.69/5,668.05 = 1,313.53/x
  3. Step 3: Cross multiply
    3,778.69x = 5,668.05 × 1,313.53
  4. Step 4: Simplify right side
    3,778.69x = 7,445,160.80
  5. Step 5: Solve for x
    x = 7,445,160.80/3,778.69
  6. Step 6: Final answer
    x = 1,970.30

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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.