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Finding the Fourth Proportional to 2,160.84, 3,238.82 and 860.80

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Solution

The fourth proportional to 2,160.84, 3,238.82 and 860.80 is: 1,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.84 : 3,238.82 = 860.80 : x
  2. Step 2: Convert to fraction form
    2,160.84/3,238.82 = 860.80/x
  3. Step 3: Cross multiply
    2,160.84x = 3,238.82 × 860.80
  4. Step 4: Simplify right side
    2,160.84x = 2,787,976.26
  5. Step 5: Solve for x
    x = 2,787,976.26/2,160.84
  6. Step 6: Final answer
    x = 1,290.23

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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.