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Finding the Fourth Proportional to 4,486.68, 6,723.86 and 2,290.80

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Solution

The fourth proportional to 4,486.68, 6,723.86 and 2,290.80 is: 3,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.68 : 6,723.86 = 2,290.80 : x
  2. Step 2: Convert to fraction form
    4,486.68/6,723.86 = 2,290.80/x
  3. Step 3: Cross multiply
    4,486.68x = 6,723.86 × 2,290.80
  4. Step 4: Simplify right side
    4,486.68x = 15,403,018.49
  5. Step 5: Solve for x
    x = 15,403,018.49/4,486.68
  6. Step 6: Final answer
    x = 3,433.05

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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.