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Finding the Fourth Proportional to 3,720, 5,582.16 and 1,668

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Solution

The fourth proportional to 3,720, 5,582.16 and 1,668 is: 2,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 5,582.16 = 1,668 : x
  2. Step 2: Convert to fraction form
    3,720/5,582.16 = 1,668/x
  3. Step 3: Cross multiply
    3,720x = 5,582.16 × 1,668
  4. Step 4: Simplify right side
    3,720x = 9,311,042.88
  5. Step 5: Solve for x
    x = 9,311,042.88/3,720
  6. Step 6: Final answer
    x = 2,502.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.