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Finding the Fourth Proportional to 2,203.69, 3,041.02 and 1,208.95

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Solution

The fourth proportional to 2,203.69, 3,041.02 and 1,208.95 is: 1,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.69 : 3,041.02 = 1,208.95 : x
  2. Step 2: Convert to fraction form
    2,203.69/3,041.02 = 1,208.95/x
  3. Step 3: Cross multiply
    2,203.69x = 3,041.02 × 1,208.95
  4. Step 4: Simplify right side
    2,203.69x = 3,676,441.13
  5. Step 5: Solve for x
    x = 3,676,441.13/2,203.69
  6. Step 6: Final answer
    x = 1,668.31

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1.5x scale

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.