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Finding the Fourth Proportional to 1,856.75, 2,768.76 and 1,840.09

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Solution

The fourth proportional to 1,856.75, 2,768.76 and 1,840.09 is: 2,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.75 : 2,768.76 = 1,840.09 : x
  2. Step 2: Convert to fraction form
    1,856.75/2,768.76 = 1,840.09/x
  3. Step 3: Cross multiply
    1,856.75x = 2,768.76 × 1,840.09
  4. Step 4: Simplify right side
    1,856.75x = 5,094,768.47
  5. Step 5: Solve for x
    x = 5,094,768.47/1,856.75
  6. Step 6: Final answer
    x = 2,743.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.