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Finding the Fourth Proportional to 1,323.81, 1,982.48 and 1,282.50

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Solution

The fourth proportional to 1,323.81, 1,982.48 and 1,282.50 is: 1,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.81 : 1,982.48 = 1,282.50 : x
  2. Step 2: Convert to fraction form
    1,323.81/1,982.48 = 1,282.50/x
  3. Step 3: Cross multiply
    1,323.81x = 1,982.48 × 1,282.50
  4. Step 4: Simplify right side
    1,323.81x = 2,542,524.19
  5. Step 5: Solve for x
    x = 2,542,524.19/1,323.81
  6. Step 6: Final answer
    x = 1,920.61

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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.