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Finding the Fourth Proportional to 2,193.42, 3,290.13 and 894.54

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Solution

The fourth proportional to 2,193.42, 3,290.13 and 894.54 is: 1,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.42 : 3,290.13 = 894.54 : x
  2. Step 2: Convert to fraction form
    2,193.42/3,290.13 = 894.54/x
  3. Step 3: Cross multiply
    2,193.42x = 3,290.13 × 894.54
  4. Step 4: Simplify right side
    2,193.42x = 2,943,152.89
  5. Step 5: Solve for x
    x = 2,943,152.89/2,193.42
  6. Step 6: Final answer
    x = 1,341.81

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.