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Finding the Fourth Proportional to 3,911.58, 5,852.78 and 3,867.84

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Solution

The fourth proportional to 3,911.58, 5,852.78 and 3,867.84 is: 5,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.58 : 5,852.78 = 3,867.84 : x
  2. Step 2: Convert to fraction form
    3,911.58/5,852.78 = 3,867.84/x
  3. Step 3: Cross multiply
    3,911.58x = 5,852.78 × 3,867.84
  4. Step 4: Simplify right side
    3,911.58x = 22,637,587.33
  5. Step 5: Solve for x
    x = 22,637,587.33/3,911.58
  6. Step 6: Final answer
    x = 5,787.33

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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.