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Finding the Fourth Proportional to 1,969.78, 2,956.50 and 996.57

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Solution

The fourth proportional to 1,969.78, 2,956.50 and 996.57 is: 1,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.78 : 2,956.50 = 996.57 : x
  2. Step 2: Convert to fraction form
    1,969.78/2,956.50 = 996.57/x
  3. Step 3: Cross multiply
    1,969.78x = 2,956.50 × 996.57
  4. Step 4: Simplify right side
    1,969.78x = 2,946,359.21
  5. Step 5: Solve for x
    x = 2,946,359.21/1,969.78
  6. Step 6: Final answer
    x = 1,495.78

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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.