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Finding the Fourth Proportional to 4,193.67, 6,291.38 and 1,728.67

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Solution

The fourth proportional to 4,193.67, 6,291.38 and 1,728.67 is: 2,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.67 : 6,291.38 = 1,728.67 : x
  2. Step 2: Convert to fraction form
    4,193.67/6,291.38 = 1,728.67/x
  3. Step 3: Cross multiply
    4,193.67x = 6,291.38 × 1,728.67
  4. Step 4: Simplify right side
    4,193.67x = 10,875,719.86
  5. Step 5: Solve for x
    x = 10,875,719.86/4,193.67
  6. Step 6: Final answer
    x = 2,593.37

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1.5x scale

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.