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Finding the Fourth Proportional to 2,806.25, 4,209.99 and 1,074.88

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Solution

The fourth proportional to 2,806.25, 4,209.99 and 1,074.88 is: 1,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.25 : 4,209.99 = 1,074.88 : x
  2. Step 2: Convert to fraction form
    2,806.25/4,209.99 = 1,074.88/x
  3. Step 3: Cross multiply
    2,806.25x = 4,209.99 × 1,074.88
  4. Step 4: Simplify right side
    2,806.25x = 4,525,207.63
  5. Step 5: Solve for x
    x = 4,525,207.63/2,806.25
  6. Step 6: Final answer
    x = 1,612.55

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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.