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Finding the Fourth Proportional to 1,879.73, 2,820.20 and 905.30

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Solution

The fourth proportional to 1,879.73, 2,820.20 and 905.30 is: 1,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.73 : 2,820.20 = 905.30 : x
  2. Step 2: Convert to fraction form
    1,879.73/2,820.20 = 905.30/x
  3. Step 3: Cross multiply
    1,879.73x = 2,820.20 × 905.30
  4. Step 4: Simplify right side
    1,879.73x = 2,553,127.06
  5. Step 5: Solve for x
    x = 2,553,127.06/1,879.73
  6. Step 6: Final answer
    x = 1,358.24

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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.