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Finding the Fourth Proportional to 1,868.67, 2,803.97 and 829.39

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Solution

The fourth proportional to 1,868.67, 2,803.97 and 829.39 is: 1,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.67 : 2,803.97 = 829.39 : x
  2. Step 2: Convert to fraction form
    1,868.67/2,803.97 = 829.39/x
  3. Step 3: Cross multiply
    1,868.67x = 2,803.97 × 829.39
  4. Step 4: Simplify right side
    1,868.67x = 2,325,580.33
  5. Step 5: Solve for x
    x = 2,325,580.33/1,868.67
  6. Step 6: Final answer
    x = 1,244.51

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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.