Home / 1,983.60-2,975.76-1,294.56

Finding the Fourth Proportional to 1,983.60, 2,975.76 and 1,294.56

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Solution

The fourth proportional to 1,983.60, 2,975.76 and 1,294.56 is: 1,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.60 : 2,975.76 = 1,294.56 : x
  2. Step 2: Convert to fraction form
    1,983.60/2,975.76 = 1,294.56/x
  3. Step 3: Cross multiply
    1,983.60x = 2,975.76 × 1,294.56
  4. Step 4: Simplify right side
    1,983.60x = 3,852,299.87
  5. Step 5: Solve for x
    x = 3,852,299.87/1,983.60
  6. Step 6: Final answer
    x = 1,942.07

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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.