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Finding the Fourth Proportional to 3,679.86, 5,519.16 and 1,678.08

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Solution

The fourth proportional to 3,679.86, 5,519.16 and 1,678.08 is: 2,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.86 : 5,519.16 = 1,678.08 : x
  2. Step 2: Convert to fraction form
    3,679.86/5,519.16 = 1,678.08/x
  3. Step 3: Cross multiply
    3,679.86x = 5,519.16 × 1,678.08
  4. Step 4: Simplify right side
    3,679.86x = 9,261,592.01
  5. Step 5: Solve for x
    x = 9,261,592.01/3,679.86
  6. Step 6: Final answer
    x = 2,516.83

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1.5x scale

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.