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Finding the Fourth Proportional to 2,011.95, 3,018.78 and 1,282.95

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Solution

The fourth proportional to 2,011.95, 3,018.78 and 1,282.95 is: 1,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.95 : 3,018.78 = 1,282.95 : x
  2. Step 2: Convert to fraction form
    2,011.95/3,018.78 = 1,282.95/x
  3. Step 3: Cross multiply
    2,011.95x = 3,018.78 × 1,282.95
  4. Step 4: Simplify right side
    2,011.95x = 3,872,943.80
  5. Step 5: Solve for x
    x = 3,872,943.80/2,011.95
  6. Step 6: Final answer
    x = 1,924.97

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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.