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Finding the Fourth Proportional to 4,147.76, 5,724.16 and 2,379.94

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Solution

The fourth proportional to 4,147.76, 5,724.16 and 2,379.94 is: 3,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.76 : 5,724.16 = 2,379.94 : x
  2. Step 2: Convert to fraction form
    4,147.76/5,724.16 = 2,379.94/x
  3. Step 3: Cross multiply
    4,147.76x = 5,724.16 × 2,379.94
  4. Step 4: Simplify right side
    4,147.76x = 13,623,137.09
  5. Step 5: Solve for x
    x = 13,623,137.09/4,147.76
  6. Step 6: Final answer
    x = 3,284.45

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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.