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Finding the Fourth Proportional to 2,132.19, 3,198.69 and 833.63

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Solution

The fourth proportional to 2,132.19, 3,198.69 and 833.63 is: 1,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.19 : 3,198.69 = 833.63 : x
  2. Step 2: Convert to fraction form
    2,132.19/3,198.69 = 833.63/x
  3. Step 3: Cross multiply
    2,132.19x = 3,198.69 × 833.63
  4. Step 4: Simplify right side
    2,132.19x = 2,666,507.95
  5. Step 5: Solve for x
    x = 2,666,507.95/2,132.19
  6. Step 6: Final answer
    x = 1,250.60

Related Problems

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Double scale
Find fourth proportional to 2,133.19, 3,200.19 and 834.63
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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.