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Finding the Fourth Proportional to 2,203.72, 3,041.15 and 1,208.99

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Solution

The fourth proportional to 2,203.72, 3,041.15 and 1,208.99 is: 1,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.72 : 3,041.15 = 1,208.99 : x
  2. Step 2: Convert to fraction form
    2,203.72/3,041.15 = 1,208.99/x
  3. Step 3: Cross multiply
    2,203.72x = 3,041.15 × 1,208.99
  4. Step 4: Simplify right side
    2,203.72x = 3,676,698.69
  5. Step 5: Solve for x
    x = 3,676,698.69/2,203.72
  6. Step 6: Final answer
    x = 1,668.41

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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.