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Finding the Fourth Proportional to 1,969.75, 2,953.49 and 980.56

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Solution

The fourth proportional to 1,969.75, 2,953.49 and 980.56 is: 1,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.75 : 2,953.49 = 980.56 : x
  2. Step 2: Convert to fraction form
    1,969.75/2,953.49 = 980.56/x
  3. Step 3: Cross multiply
    1,969.75x = 2,953.49 × 980.56
  4. Step 4: Simplify right side
    1,969.75x = 2,896,059.09
  5. Step 5: Solve for x
    x = 2,896,059.09/1,969.75
  6. Step 6: Final answer
    x = 1,470.27

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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.