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Finding the Fourth Proportional to 2,852.13, 3,936 and 1,789.94

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Solution

The fourth proportional to 2,852.13, 3,936 and 1,789.94 is: 2,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.13 : 3,936 = 1,789.94 : x
  2. Step 2: Convert to fraction form
    2,852.13/3,936 = 1,789.94/x
  3. Step 3: Cross multiply
    2,852.13x = 3,936 × 1,789.94
  4. Step 4: Simplify right side
    2,852.13x = 7,045,203.84
  5. Step 5: Solve for x
    x = 7,045,203.84/2,852.13
  6. Step 6: Final answer
    x = 2,470.16

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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.