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Finding the Fourth Proportional to 2,146.64, 3,219.91 and 685.77

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Solution

The fourth proportional to 2,146.64, 3,219.91 and 685.77 is: 1,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.64 : 3,219.91 = 685.77 : x
  2. Step 2: Convert to fraction form
    2,146.64/3,219.91 = 685.77/x
  3. Step 3: Cross multiply
    2,146.64x = 3,219.91 × 685.77
  4. Step 4: Simplify right side
    2,146.64x = 2,208,117.68
  5. Step 5: Solve for x
    x = 2,208,117.68/2,146.64
  6. Step 6: Final answer
    x = 1,028.64

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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.