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Finding the Fourth Proportional to 1,919.62, 2,878.80 and 823.30

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Solution

The fourth proportional to 1,919.62, 2,878.80 and 823.30 is: 1,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.62 : 2,878.80 = 823.30 : x
  2. Step 2: Convert to fraction form
    1,919.62/2,878.80 = 823.30/x
  3. Step 3: Cross multiply
    1,919.62x = 2,878.80 × 823.30
  4. Step 4: Simplify right side
    1,919.62x = 2,370,116.04
  5. Step 5: Solve for x
    x = 2,370,116.04/1,919.62
  6. Step 6: Final answer
    x = 1,234.68

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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.