Home / 1,971.63-2,961.77-1,202.67

Finding the Fourth Proportional to 1,971.63, 2,961.77 and 1,202.67

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Solution

The fourth proportional to 1,971.63, 2,961.77 and 1,202.67 is: 1,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.63 : 2,961.77 = 1,202.67 : x
  2. Step 2: Convert to fraction form
    1,971.63/2,961.77 = 1,202.67/x
  3. Step 3: Cross multiply
    1,971.63x = 2,961.77 × 1,202.67
  4. Step 4: Simplify right side
    1,971.63x = 3,562,025.91
  5. Step 5: Solve for x
    x = 3,562,025.91/1,971.63
  6. Step 6: Final answer
    x = 1,806.64

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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.