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Finding the Fourth Proportional to 2,855.56, 4,287.66 and 2,533

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Solution

The fourth proportional to 2,855.56, 4,287.66 and 2,533 is: 3,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.56 : 4,287.66 = 2,533 : x
  2. Step 2: Convert to fraction form
    2,855.56/4,287.66 = 2,533/x
  3. Step 3: Cross multiply
    2,855.56x = 4,287.66 × 2,533
  4. Step 4: Simplify right side
    2,855.56x = 10,860,642.78
  5. Step 5: Solve for x
    x = 10,860,642.78/2,855.56
  6. Step 6: Final answer
    x = 3,803.33

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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.