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Finding the Fourth Proportional to 2,802.78, 4,204.74 and 855.18

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Solution

The fourth proportional to 2,802.78, 4,204.74 and 855.18 is: 1,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.78 : 4,204.74 = 855.18 : x
  2. Step 2: Convert to fraction form
    2,802.78/4,204.74 = 855.18/x
  3. Step 3: Cross multiply
    2,802.78x = 4,204.74 × 855.18
  4. Step 4: Simplify right side
    2,802.78x = 3,595,809.55
  5. Step 5: Solve for x
    x = 3,595,809.55/2,802.78
  6. Step 6: Final answer
    x = 1,282.94

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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.