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Finding the Fourth Proportional to 2,109.80, 3,165.48 and 878

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Solution

The fourth proportional to 2,109.80, 3,165.48 and 878 is: 1,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.80 : 3,165.48 = 878 : x
  2. Step 2: Convert to fraction form
    2,109.80/3,165.48 = 878/x
  3. Step 3: Cross multiply
    2,109.80x = 3,165.48 × 878
  4. Step 4: Simplify right side
    2,109.80x = 2,779,291.44
  5. Step 5: Solve for x
    x = 2,779,291.44/2,109.80
  6. Step 6: Final answer
    x = 1,317.32

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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.