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Finding the Fourth Proportional to 4,242.81, 5,855.04 and 2,379.81

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Solution

The fourth proportional to 4,242.81, 5,855.04 and 2,379.81 is: 3,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.81 : 5,855.04 = 2,379.81 : x
  2. Step 2: Convert to fraction form
    4,242.81/5,855.04 = 2,379.81/x
  3. Step 3: Cross multiply
    4,242.81x = 5,855.04 × 2,379.81
  4. Step 4: Simplify right side
    4,242.81x = 13,933,882.74
  5. Step 5: Solve for x
    x = 13,933,882.74/4,242.81
  6. Step 6: Final answer
    x = 3,284.12

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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.