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Finding the Fourth Proportional to 3,183, 4,392.58 and 1,785.76

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Solution

The fourth proportional to 3,183, 4,392.58 and 1,785.76 is: 2,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 4,392.58 = 1,785.76 : x
  2. Step 2: Convert to fraction form
    3,183/4,392.58 = 1,785.76/x
  3. Step 3: Cross multiply
    3,183x = 4,392.58 × 1,785.76
  4. Step 4: Simplify right side
    3,183x = 7,844,093.66
  5. Step 5: Solve for x
    x = 7,844,093.66/3,183
  6. Step 6: Final answer
    x = 2,464.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.