Home / 2,078.14-3,116.52-761.67

Finding the Fourth Proportional to 2,078.14, 3,116.52 and 761.67

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Solution

The fourth proportional to 2,078.14, 3,116.52 and 761.67 is: 1,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.14 : 3,116.52 = 761.67 : x
  2. Step 2: Convert to fraction form
    2,078.14/3,116.52 = 761.67/x
  3. Step 3: Cross multiply
    2,078.14x = 3,116.52 × 761.67
  4. Step 4: Simplify right side
    2,078.14x = 2,373,759.79
  5. Step 5: Solve for x
    x = 2,373,759.79/2,078.14
  6. Step 6: Final answer
    x = 1,142.25

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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.