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Finding the Fourth Proportional to 3,166.95, 4,749.29 and 1,086.41

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Solution

The fourth proportional to 3,166.95, 4,749.29 and 1,086.41 is: 1,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.95 : 4,749.29 = 1,086.41 : x
  2. Step 2: Convert to fraction form
    3,166.95/4,749.29 = 1,086.41/x
  3. Step 3: Cross multiply
    3,166.95x = 4,749.29 × 1,086.41
  4. Step 4: Simplify right side
    3,166.95x = 5,159,688.53
  5. Step 5: Solve for x
    x = 5,159,688.53/3,166.95
  6. Step 6: Final answer
    x = 1,629.23

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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.