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Finding the Fourth Proportional to 2,649.56, 3,974.63 and 894.51

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Solution

The fourth proportional to 2,649.56, 3,974.63 and 894.51 is: 1,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.56 : 3,974.63 = 894.51 : x
  2. Step 2: Convert to fraction form
    2,649.56/3,974.63 = 894.51/x
  3. Step 3: Cross multiply
    2,649.56x = 3,974.63 × 894.51
  4. Step 4: Simplify right side
    2,649.56x = 3,555,341.81
  5. Step 5: Solve for x
    x = 3,555,341.81/2,649.56
  6. Step 6: Final answer
    x = 1,341.86

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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.