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Finding the Fourth Proportional to 3,069.80, 4,206.80 and 2,774.55

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Solution

The fourth proportional to 3,069.80, 4,206.80 and 2,774.55 is: 3,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.80 : 4,206.80 = 2,774.55 : x
  2. Step 2: Convert to fraction form
    3,069.80/4,206.80 = 2,774.55/x
  3. Step 3: Cross multiply
    3,069.80x = 4,206.80 × 2,774.55
  4. Step 4: Simplify right side
    3,069.80x = 11,671,976.94
  5. Step 5: Solve for x
    x = 11,671,976.94/3,069.80
  6. Step 6: Final answer
    x = 3,802.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.