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Finding the Fourth Proportional to 5,662.96, 7,820.80 and 3,896.96

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Solution

The fourth proportional to 5,662.96, 7,820.80 and 3,896.96 is: 5,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.96 : 7,820.80 = 3,896.96 : x
  2. Step 2: Convert to fraction form
    5,662.96/7,820.80 = 3,896.96/x
  3. Step 3: Cross multiply
    5,662.96x = 7,820.80 × 3,896.96
  4. Step 4: Simplify right side
    5,662.96x = 30,477,295.92
  5. Step 5: Solve for x
    x = 30,477,295.92/5,662.96
  6. Step 6: Final answer
    x = 5,381.87

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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.