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Finding the Fourth Proportional to 2,188.09, 3,019.09 and 1,304.19

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Solution

The fourth proportional to 2,188.09, 3,019.09 and 1,304.19 is: 1,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.09 : 3,019.09 = 1,304.19 : x
  2. Step 2: Convert to fraction form
    2,188.09/3,019.09 = 1,304.19/x
  3. Step 3: Cross multiply
    2,188.09x = 3,019.09 × 1,304.19
  4. Step 4: Simplify right side
    2,188.09x = 3,937,466.99
  5. Step 5: Solve for x
    x = 3,937,466.99/2,188.09
  6. Step 6: Final answer
    x = 1,799.50

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Half scale
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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.