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Finding the Fourth Proportional to 3,077.70, 4,247.22 and 1,680.45

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Solution

The fourth proportional to 3,077.70, 4,247.22 and 1,680.45 is: 2,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.70 : 4,247.22 = 1,680.45 : x
  2. Step 2: Convert to fraction form
    3,077.70/4,247.22 = 1,680.45/x
  3. Step 3: Cross multiply
    3,077.70x = 4,247.22 × 1,680.45
  4. Step 4: Simplify right side
    3,077.70x = 7,137,240.85
  5. Step 5: Solve for x
    x = 7,137,240.85/3,077.70
  6. Step 6: Final answer
    x = 2,319.02

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