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Finding the Fourth Proportional to 2,960.76, 4,077.99 and 2,738.98

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Solution

The fourth proportional to 2,960.76, 4,077.99 and 2,738.98 is: 3,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.76 : 4,077.99 = 2,738.98 : x
  2. Step 2: Convert to fraction form
    2,960.76/4,077.99 = 2,738.98/x
  3. Step 3: Cross multiply
    2,960.76x = 4,077.99 × 2,738.98
  4. Step 4: Simplify right side
    2,960.76x = 11,169,533.05
  5. Step 5: Solve for x
    x = 11,169,533.05/2,960.76
  6. Step 6: Final answer
    x = 3,772.52

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1.5x scale

Why These Related Problems?

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