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Finding the Fourth Proportional to 1,959.40, 2,936.43 and 862.39

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Solution

The fourth proportional to 1,959.40, 2,936.43 and 862.39 is: 1,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.40 : 2,936.43 = 862.39 : x
  2. Step 2: Convert to fraction form
    1,959.40/2,936.43 = 862.39/x
  3. Step 3: Cross multiply
    1,959.40x = 2,936.43 × 862.39
  4. Step 4: Simplify right side
    1,959.40x = 2,532,347.87
  5. Step 5: Solve for x
    x = 2,532,347.87/1,959.40
  6. Step 6: Final answer
    x = 1,292.41

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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.