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Finding the Fourth Proportional to 2,649.42, 3,974.50 and 894.93

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Solution

The fourth proportional to 2,649.42, 3,974.50 and 894.93 is: 1,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.42 : 3,974.50 = 894.93 : x
  2. Step 2: Convert to fraction form
    2,649.42/3,974.50 = 894.93/x
  3. Step 3: Cross multiply
    2,649.42x = 3,974.50 × 894.93
  4. Step 4: Simplify right side
    2,649.42x = 3,556,874.94
  5. Step 5: Solve for x
    x = 3,556,874.94/2,649.42
  6. Step 6: Final answer
    x = 1,342.51

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Double scale
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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.