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Finding the Fourth Proportional to 3,860.70, 5,791.47 and 1,263.03

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Solution

The fourth proportional to 3,860.70, 5,791.47 and 1,263.03 is: 1,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.70 : 5,791.47 = 1,263.03 : x
  2. Step 2: Convert to fraction form
    3,860.70/5,791.47 = 1,263.03/x
  3. Step 3: Cross multiply
    3,860.70x = 5,791.47 × 1,263.03
  4. Step 4: Simplify right side
    3,860.70x = 7,314,800.35
  5. Step 5: Solve for x
    x = 7,314,800.35/3,860.70
  6. Step 6: Final answer
    x = 1,894.68

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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.