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Finding the Fourth Proportional to 3,163.76, 4,365.77 and 1,904.57

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Solution

The fourth proportional to 3,163.76, 4,365.77 and 1,904.57 is: 2,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.76 : 4,365.77 = 1,904.57 : x
  2. Step 2: Convert to fraction form
    3,163.76/4,365.77 = 1,904.57/x
  3. Step 3: Cross multiply
    3,163.76x = 4,365.77 × 1,904.57
  4. Step 4: Simplify right side
    3,163.76x = 8,314,883.22
  5. Step 5: Solve for x
    x = 8,314,883.22/3,163.76
  6. Step 6: Final answer
    x = 2,628.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.