Home / 1,972.29-2,959.31-1,047.62

Finding the Fourth Proportional to 1,972.29, 2,959.31 and 1,047.62

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Solution

The fourth proportional to 1,972.29, 2,959.31 and 1,047.62 is: 1,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.29 : 2,959.31 = 1,047.62 : x
  2. Step 2: Convert to fraction form
    1,972.29/2,959.31 = 1,047.62/x
  3. Step 3: Cross multiply
    1,972.29x = 2,959.31 × 1,047.62
  4. Step 4: Simplify right side
    1,972.29x = 3,100,242.36
  5. Step 5: Solve for x
    x = 3,100,242.36/1,972.29
  6. Step 6: Final answer
    x = 1,571.90

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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.