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Finding the Fourth Proportional to 1,879.27, 2,817.05 and 906.05

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Solution

The fourth proportional to 1,879.27, 2,817.05 and 906.05 is: 1,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.27 : 2,817.05 = 906.05 : x
  2. Step 2: Convert to fraction form
    1,879.27/2,817.05 = 906.05/x
  3. Step 3: Cross multiply
    1,879.27x = 2,817.05 × 906.05
  4. Step 4: Simplify right side
    1,879.27x = 2,552,390.66
  5. Step 5: Solve for x
    x = 2,552,390.66/1,879.27
  6. Step 6: Final answer
    x = 1,358.18

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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.