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Finding the Fourth Proportional to 2,788.49, 4,182.94 and 840.85

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Solution

The fourth proportional to 2,788.49, 4,182.94 and 840.85 is: 1,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.49 : 4,182.94 = 840.85 : x
  2. Step 2: Convert to fraction form
    2,788.49/4,182.94 = 840.85/x
  3. Step 3: Cross multiply
    2,788.49x = 4,182.94 × 840.85
  4. Step 4: Simplify right side
    2,788.49x = 3,517,215.69
  5. Step 5: Solve for x
    x = 3,517,215.69/2,788.49
  6. Step 6: Final answer
    x = 1,261.33

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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.