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Finding the Fourth Proportional to 1,941.57, 2,912.37 and 708.45

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Solution

The fourth proportional to 1,941.57, 2,912.37 and 708.45 is: 1,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.57 : 2,912.37 = 708.45 : x
  2. Step 2: Convert to fraction form
    1,941.57/2,912.37 = 708.45/x
  3. Step 3: Cross multiply
    1,941.57x = 2,912.37 × 708.45
  4. Step 4: Simplify right side
    1,941.57x = 2,063,268.53
  5. Step 5: Solve for x
    x = 2,063,268.53/1,941.57
  6. Step 6: Final answer
    x = 1,062.68

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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.