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Finding the Fourth Proportional to 3,830, 5,747.16 and 1,778

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Solution

The fourth proportional to 3,830, 5,747.16 and 1,778 is: 2,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 5,747.16 = 1,778 : x
  2. Step 2: Convert to fraction form
    3,830/5,747.16 = 1,778/x
  3. Step 3: Cross multiply
    3,830x = 5,747.16 × 1,778
  4. Step 4: Simplify right side
    3,830x = 10,218,450.48
  5. Step 5: Solve for x
    x = 10,218,450.48/3,830
  6. Step 6: Final answer
    x = 2,668.00

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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.