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Finding the Fourth Proportional to 3,918.70, 5,878.06 and 996.92

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Solution

The fourth proportional to 3,918.70, 5,878.06 and 996.92 is: 1,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.70 : 5,878.06 = 996.92 : x
  2. Step 2: Convert to fraction form
    3,918.70/5,878.06 = 996.92/x
  3. Step 3: Cross multiply
    3,918.70x = 5,878.06 × 996.92
  4. Step 4: Simplify right side
    3,918.70x = 5,859,955.58
  5. Step 5: Solve for x
    x = 5,859,955.58/3,918.70
  6. Step 6: Final answer
    x = 1,495.38

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1.5x scale

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.