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Finding the Fourth Proportional to 1,835.78, 2,750.20 and 910.83

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Solution

The fourth proportional to 1,835.78, 2,750.20 and 910.83 is: 1,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.78 : 2,750.20 = 910.83 : x
  2. Step 2: Convert to fraction form
    1,835.78/2,750.20 = 910.83/x
  3. Step 3: Cross multiply
    1,835.78x = 2,750.20 × 910.83
  4. Step 4: Simplify right side
    1,835.78x = 2,504,972.70
  5. Step 5: Solve for x
    x = 2,504,972.70/1,835.78
  6. Step 6: Final answer
    x = 1,364.53

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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.