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Finding the Fourth Proportional to 5,668.08, 7,819.20 and 3,678.96

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Solution

The fourth proportional to 5,668.08, 7,819.20 and 3,678.96 is: 5,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.08 : 7,819.20 = 3,678.96 : x
  2. Step 2: Convert to fraction form
    5,668.08/7,819.20 = 3,678.96/x
  3. Step 3: Cross multiply
    5,668.08x = 7,819.20 × 3,678.96
  4. Step 4: Simplify right side
    5,668.08x = 28,766,524.03
  5. Step 5: Solve for x
    x = 28,766,524.03/5,668.08
  6. Step 6: Final answer
    x = 5,075.18

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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.