Home / 3,159-4,733.64-1,859.76

Finding the Fourth Proportional to 3,159, 4,733.64 and 1,859.76

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Solution

The fourth proportional to 3,159, 4,733.64 and 1,859.76 is: 2,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159 : 4,733.64 = 1,859.76 : x
  2. Step 2: Convert to fraction form
    3,159/4,733.64 = 1,859.76/x
  3. Step 3: Cross multiply
    3,159x = 4,733.64 × 1,859.76
  4. Step 4: Simplify right side
    3,159x = 8,803,434.33
  5. Step 5: Solve for x
    x = 8,803,434.33/3,159
  6. Step 6: Final answer
    x = 2,786.78

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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.