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Finding the Fourth Proportional to 1,377.70, 1,898.82 and 935.44

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Solution

The fourth proportional to 1,377.70, 1,898.82 and 935.44 is: 1,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.70 : 1,898.82 = 935.44 : x
  2. Step 2: Convert to fraction form
    1,377.70/1,898.82 = 935.44/x
  3. Step 3: Cross multiply
    1,377.70x = 1,898.82 × 935.44
  4. Step 4: Simplify right side
    1,377.70x = 1,776,232.18
  5. Step 5: Solve for x
    x = 1,776,232.18/1,377.70
  6. Step 6: Final answer
    x = 1,289.27

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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.