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Finding the Fourth Proportional to 3,771.90, 5,652.72 and 1,582.74

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Solution

The fourth proportional to 3,771.90, 5,652.72 and 1,582.74 is: 2,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.90 : 5,652.72 = 1,582.74 : x
  2. Step 2: Convert to fraction form
    3,771.90/5,652.72 = 1,582.74/x
  3. Step 3: Cross multiply
    3,771.90x = 5,652.72 × 1,582.74
  4. Step 4: Simplify right side
    3,771.90x = 8,946,786.05
  5. Step 5: Solve for x
    x = 8,946,786.05/3,771.90
  6. Step 6: Final answer
    x = 2,371.96

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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.