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Finding the Fourth Proportional to 1,884.03, 2,826.15 and 788.49

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Solution

The fourth proportional to 1,884.03, 2,826.15 and 788.49 is: 1,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.03 : 2,826.15 = 788.49 : x
  2. Step 2: Convert to fraction form
    1,884.03/2,826.15 = 788.49/x
  3. Step 3: Cross multiply
    1,884.03x = 2,826.15 × 788.49
  4. Step 4: Simplify right side
    1,884.03x = 2,228,391.01
  5. Step 5: Solve for x
    x = 2,228,391.01/1,884.03
  6. Step 6: Final answer
    x = 1,182.78

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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.