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Finding the Fourth Proportional to 1,972.69, 2,959.54 and 674.16

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Solution

The fourth proportional to 1,972.69, 2,959.54 and 674.16 is: 1,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.69 : 2,959.54 = 674.16 : x
  2. Step 2: Convert to fraction form
    1,972.69/2,959.54 = 674.16/x
  3. Step 3: Cross multiply
    1,972.69x = 2,959.54 × 674.16
  4. Step 4: Simplify right side
    1,972.69x = 1,995,190.70
  5. Step 5: Solve for x
    x = 1,995,190.70/1,972.69
  6. Step 6: Final answer
    x = 1,011.41

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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.