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Finding the Fourth Proportional to 3,906.66, 5,390.71 and 3,112.00

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Solution

The fourth proportional to 3,906.66, 5,390.71 and 3,112.00 is: 4,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.66 : 5,390.71 = 3,112.00 : x
  2. Step 2: Convert to fraction form
    3,906.66/5,390.71 = 3,112.00/x
  3. Step 3: Cross multiply
    3,906.66x = 5,390.71 × 3,112.00
  4. Step 4: Simplify right side
    3,906.66x = 16,775,907.34
  5. Step 5: Solve for x
    x = 16,775,907.34/3,906.66
  6. Step 6: Final answer
    x = 4,294.19

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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.