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Finding the Fourth Proportional to 2,855.13, 4,283.41 and 803.13

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Solution

The fourth proportional to 2,855.13, 4,283.41 and 803.13 is: 1,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.13 : 4,283.41 = 803.13 : x
  2. Step 2: Convert to fraction form
    2,855.13/4,283.41 = 803.13/x
  3. Step 3: Cross multiply
    2,855.13x = 4,283.41 × 803.13
  4. Step 4: Simplify right side
    2,855.13x = 3,440,135.07
  5. Step 5: Solve for x
    x = 3,440,135.07/2,855.13
  6. Step 6: Final answer
    x = 1,204.90

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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.