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Finding the Fourth Proportional to 3,668.46, 5,063.84 and 2,678.84

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Solution

The fourth proportional to 3,668.46, 5,063.84 and 2,678.84 is: 3,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.46 : 5,063.84 = 2,678.84 : x
  2. Step 2: Convert to fraction form
    3,668.46/5,063.84 = 2,678.84/x
  3. Step 3: Cross multiply
    3,668.46x = 5,063.84 × 2,678.84
  4. Step 4: Simplify right side
    3,668.46x = 13,565,217.15
  5. Step 5: Solve for x
    x = 13,565,217.15/3,668.46
  6. Step 6: Final answer
    x = 3,697.80

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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.