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Finding the Fourth Proportional to 1,282.50, 1,919.43 and 1,211.49

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Solution

The fourth proportional to 1,282.50, 1,919.43 and 1,211.49 is: 1,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.50 : 1,919.43 = 1,211.49 : x
  2. Step 2: Convert to fraction form
    1,282.50/1,919.43 = 1,211.49/x
  3. Step 3: Cross multiply
    1,282.50x = 1,919.43 × 1,211.49
  4. Step 4: Simplify right side
    1,282.50x = 2,325,370.25
  5. Step 5: Solve for x
    x = 2,325,370.25/1,282.50
  6. Step 6: Final answer
    x = 1,813.15

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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.