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Finding the Fourth Proportional to 4,187.52, 5,771.52 and 3,137.76

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Solution

The fourth proportional to 4,187.52, 5,771.52 and 3,137.76 is: 4,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.52 : 5,771.52 = 3,137.76 : x
  2. Step 2: Convert to fraction form
    4,187.52/5,771.52 = 3,137.76/x
  3. Step 3: Cross multiply
    4,187.52x = 5,771.52 × 3,137.76
  4. Step 4: Simplify right side
    4,187.52x = 18,109,644.60
  5. Step 5: Solve for x
    x = 18,109,644.60/4,187.52
  6. Step 6: Final answer
    x = 4,324.67

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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.