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Finding the Fourth Proportional to 2,996.76, 4,131.90 and 1,947

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Solution

The fourth proportional to 2,996.76, 4,131.90 and 1,947 is: 2,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.76 : 4,131.90 = 1,947 : x
  2. Step 2: Convert to fraction form
    2,996.76/4,131.90 = 1,947/x
  3. Step 3: Cross multiply
    2,996.76x = 4,131.90 × 1,947
  4. Step 4: Simplify right side
    2,996.76x = 8,044,809.30
  5. Step 5: Solve for x
    x = 8,044,809.30/2,996.76
  6. Step 6: Final answer
    x = 2,684.50

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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.