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Finding the Fourth Proportional to 4,242.76, 5,855 and 2,379.76

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Solution

The fourth proportional to 4,242.76, 5,855 and 2,379.76 is: 3,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.76 : 5,855 = 2,379.76 : x
  2. Step 2: Convert to fraction form
    4,242.76/5,855 = 2,379.76/x
  3. Step 3: Cross multiply
    4,242.76x = 5,855 × 2,379.76
  4. Step 4: Simplify right side
    4,242.76x = 13,933,494.80
  5. Step 5: Solve for x
    x = 13,933,494.80/4,242.76
  6. Step 6: Final answer
    x = 3,284.06

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1.5x scale

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.