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Finding the Fourth Proportional to 2,201.77, 3,302.71 and 885.66

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Solution

The fourth proportional to 2,201.77, 3,302.71 and 885.66 is: 1,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.77 : 3,302.71 = 885.66 : x
  2. Step 2: Convert to fraction form
    2,201.77/3,302.71 = 885.66/x
  3. Step 3: Cross multiply
    2,201.77x = 3,302.71 × 885.66
  4. Step 4: Simplify right side
    2,201.77x = 2,925,078.14
  5. Step 5: Solve for x
    x = 2,925,078.14/2,201.77
  6. Step 6: Final answer
    x = 1,328.51

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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.