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Finding the Fourth Proportional to 2,855.07, 4,283.53 and 1,213.00

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Solution

The fourth proportional to 2,855.07, 4,283.53 and 1,213.00 is: 1,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.07 : 4,283.53 = 1,213.00 : x
  2. Step 2: Convert to fraction form
    2,855.07/4,283.53 = 1,213.00/x
  3. Step 3: Cross multiply
    2,855.07x = 4,283.53 × 1,213.00
  4. Step 4: Simplify right side
    2,855.07x = 5,195,908.15
  5. Step 5: Solve for x
    x = 5,195,908.15/2,855.07
  6. Step 6: Final answer
    x = 1,819.89

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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.