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Finding the Fourth Proportional to 1,936.74, 2,904.42 and 840.54

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Solution

The fourth proportional to 1,936.74, 2,904.42 and 840.54 is: 1,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.74 : 2,904.42 = 840.54 : x
  2. Step 2: Convert to fraction form
    1,936.74/2,904.42 = 840.54/x
  3. Step 3: Cross multiply
    1,936.74x = 2,904.42 × 840.54
  4. Step 4: Simplify right side
    1,936.74x = 2,441,281.19
  5. Step 5: Solve for x
    x = 2,441,281.19/1,936.74
  6. Step 6: Final answer
    x = 1,260.51

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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.