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Finding the Fourth Proportional to 2,681.95, 4,022.40 and 733.69

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Solution

The fourth proportional to 2,681.95, 4,022.40 and 733.69 is: 1,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.95 : 4,022.40 = 733.69 : x
  2. Step 2: Convert to fraction form
    2,681.95/4,022.40 = 733.69/x
  3. Step 3: Cross multiply
    2,681.95x = 4,022.40 × 733.69
  4. Step 4: Simplify right side
    2,681.95x = 2,951,194.66
  5. Step 5: Solve for x
    x = 2,951,194.66/2,681.95
  6. Step 6: Final answer
    x = 1,100.39

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1.5x scale

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.