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Finding the Fourth Proportional to 2,855.93, 4,283.91 and 908.15

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Solution

The fourth proportional to 2,855.93, 4,283.91 and 908.15 is: 1,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.93 : 4,283.91 = 908.15 : x
  2. Step 2: Convert to fraction form
    2,855.93/4,283.91 = 908.15/x
  3. Step 3: Cross multiply
    2,855.93x = 4,283.91 × 908.15
  4. Step 4: Simplify right side
    2,855.93x = 3,890,411.45
  5. Step 5: Solve for x
    x = 3,890,411.45/2,855.93
  6. Step 6: Final answer
    x = 1,362.22

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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.