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Finding the Fourth Proportional to 2,802.87, 4,204.28 and 855.06

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Solution

The fourth proportional to 2,802.87, 4,204.28 and 855.06 is: 1,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.87 : 4,204.28 = 855.06 : x
  2. Step 2: Convert to fraction form
    2,802.87/4,204.28 = 855.06/x
  3. Step 3: Cross multiply
    2,802.87x = 4,204.28 × 855.06
  4. Step 4: Simplify right side
    2,802.87x = 3,594,911.66
  5. Step 5: Solve for x
    x = 3,594,911.66/2,802.87
  6. Step 6: Final answer
    x = 1,282.58

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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.