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Finding the Fourth Proportional to 1,937.76, 2,917.96 and 1,393.71

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Solution

The fourth proportional to 1,937.76, 2,917.96 and 1,393.71 is: 2,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.76 : 2,917.96 = 1,393.71 : x
  2. Step 2: Convert to fraction form
    1,937.76/2,917.96 = 1,393.71/x
  3. Step 3: Cross multiply
    1,937.76x = 2,917.96 × 1,393.71
  4. Step 4: Simplify right side
    1,937.76x = 4,066,790.03
  5. Step 5: Solve for x
    x = 4,066,790.03/1,937.76
  6. Step 6: Final answer
    x = 2,098.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.