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Finding the Fourth Proportional to 3,710.68, 5,120.76 and 2,138.80

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Solution

The fourth proportional to 3,710.68, 5,120.76 and 2,138.80 is: 2,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.68 : 5,120.76 = 2,138.80 : x
  2. Step 2: Convert to fraction form
    3,710.68/5,120.76 = 2,138.80/x
  3. Step 3: Cross multiply
    3,710.68x = 5,120.76 × 2,138.80
  4. Step 4: Simplify right side
    3,710.68x = 10,952,281.49
  5. Step 5: Solve for x
    x = 10,952,281.49/3,710.68
  6. Step 6: Final answer
    x = 2,951.56

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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.