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Finding the Fourth Proportional to 2,218.51, 3,328.17 and 832.81

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Solution

The fourth proportional to 2,218.51, 3,328.17 and 832.81 is: 1,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.51 : 3,328.17 = 832.81 : x
  2. Step 2: Convert to fraction form
    2,218.51/3,328.17 = 832.81/x
  3. Step 3: Cross multiply
    2,218.51x = 3,328.17 × 832.81
  4. Step 4: Simplify right side
    2,218.51x = 2,771,733.26
  5. Step 5: Solve for x
    x = 2,771,733.26/2,218.51
  6. Step 6: Final answer
    x = 1,249.37

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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.