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Finding the Fourth Proportional to 1,852.96, 2,765.92 and 1,801.02

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Solution

The fourth proportional to 1,852.96, 2,765.92 and 1,801.02 is: 2,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.96 : 2,765.92 = 1,801.02 : x
  2. Step 2: Convert to fraction form
    1,852.96/2,765.92 = 1,801.02/x
  3. Step 3: Cross multiply
    1,852.96x = 2,765.92 × 1,801.02
  4. Step 4: Simplify right side
    1,852.96x = 4,981,477.24
  5. Step 5: Solve for x
    x = 4,981,477.24/1,852.96
  6. Step 6: Final answer
    x = 2,688.39

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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.