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Finding the Fourth Proportional to 2,707.95, 3,735.49 and 1,960.61

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Solution

The fourth proportional to 2,707.95, 3,735.49 and 1,960.61 is: 2,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.95 : 3,735.49 = 1,960.61 : x
  2. Step 2: Convert to fraction form
    2,707.95/3,735.49 = 1,960.61/x
  3. Step 3: Cross multiply
    2,707.95x = 3,735.49 × 1,960.61
  4. Step 4: Simplify right side
    2,707.95x = 7,323,840.16
  5. Step 5: Solve for x
    x = 7,323,840.16/2,707.95
  6. Step 6: Final answer
    x = 2,704.57

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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.