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Finding the Fourth Proportional to 1,975.03, 2,960.19 and 919.43

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Solution

The fourth proportional to 1,975.03, 2,960.19 and 919.43 is: 1,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.03 : 2,960.19 = 919.43 : x
  2. Step 2: Convert to fraction form
    1,975.03/2,960.19 = 919.43/x
  3. Step 3: Cross multiply
    1,975.03x = 2,960.19 × 919.43
  4. Step 4: Simplify right side
    1,975.03x = 2,721,672.69
  5. Step 5: Solve for x
    x = 2,721,672.69/1,975.03
  6. Step 6: Final answer
    x = 1,378.04

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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.