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Finding the Fourth Proportional to 4,161.82, 6,243.82 and 1,970.50

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Solution

The fourth proportional to 4,161.82, 6,243.82 and 1,970.50 is: 2,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.82 : 6,243.82 = 1,970.50 : x
  2. Step 2: Convert to fraction form
    4,161.82/6,243.82 = 1,970.50/x
  3. Step 3: Cross multiply
    4,161.82x = 6,243.82 × 1,970.50
  4. Step 4: Simplify right side
    4,161.82x = 12,303,447.31
  5. Step 5: Solve for x
    x = 12,303,447.31/4,161.82
  6. Step 6: Final answer
    x = 2,956.27

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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.