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Finding the Fourth Proportional to 2,806.51, 4,209.92 and 1,075

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Solution

The fourth proportional to 2,806.51, 4,209.92 and 1,075 is: 1,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.51 : 4,209.92 = 1,075 : x
  2. Step 2: Convert to fraction form
    2,806.51/4,209.92 = 1,075/x
  3. Step 3: Cross multiply
    2,806.51x = 4,209.92 × 1,075
  4. Step 4: Simplify right side
    2,806.51x = 4,525,658.63
  5. Step 5: Solve for x
    x = 4,525,658.63/2,806.51
  6. Step 6: Final answer
    x = 1,612.56

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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.