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Finding the Fourth Proportional to 4,147.92, 5,724.10 and 2,379.68

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Solution

The fourth proportional to 4,147.92, 5,724.10 and 2,379.68 is: 3,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.92 : 5,724.10 = 2,379.68 : x
  2. Step 2: Convert to fraction form
    4,147.92/5,724.10 = 2,379.68/x
  3. Step 3: Cross multiply
    4,147.92x = 5,724.10 × 2,379.68
  4. Step 4: Simplify right side
    4,147.92x = 13,621,526.29
  5. Step 5: Solve for x
    x = 13,621,526.29/4,147.92
  6. Step 6: Final answer
    x = 3,283.94

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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.