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Finding the Fourth Proportional to 2,806.36, 3,871.18 and 1,627

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Solution

The fourth proportional to 2,806.36, 3,871.18 and 1,627 is: 2,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.36 : 3,871.18 = 1,627 : x
  2. Step 2: Convert to fraction form
    2,806.36/3,871.18 = 1,627/x
  3. Step 3: Cross multiply
    2,806.36x = 3,871.18 × 1,627
  4. Step 4: Simplify right side
    2,806.36x = 6,298,409.86
  5. Step 5: Solve for x
    x = 6,298,409.86/2,806.36
  6. Step 6: Final answer
    x = 2,244.33

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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.