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Finding the Fourth Proportional to 4,242.88, 5,855.24 and 2,379.88

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Solution

The fourth proportional to 4,242.88, 5,855.24 and 2,379.88 is: 3,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.88 : 5,855.24 = 2,379.88 : x
  2. Step 2: Convert to fraction form
    4,242.88/5,855.24 = 2,379.88/x
  3. Step 3: Cross multiply
    4,242.88x = 5,855.24 × 2,379.88
  4. Step 4: Simplify right side
    4,242.88x = 13,934,727.40
  5. Step 5: Solve for x
    x = 13,934,727.40/4,242.88
  6. Step 6: Final answer
    x = 3,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.