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Finding the Fourth Proportional to 2,188.91, 3,020.64 and 1,194.19

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Solution

The fourth proportional to 2,188.91, 3,020.64 and 1,194.19 is: 1,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.91 : 3,020.64 = 1,194.19 : x
  2. Step 2: Convert to fraction form
    2,188.91/3,020.64 = 1,194.19/x
  3. Step 3: Cross multiply
    2,188.91x = 3,020.64 × 1,194.19
  4. Step 4: Simplify right side
    2,188.91x = 3,607,204.93
  5. Step 5: Solve for x
    x = 3,607,204.93/2,188.91
  6. Step 6: Final answer
    x = 1,647.95

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Half scale
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Double 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.