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Finding the Fourth Proportional to 5,409.92, 8,114.88 and 1,305.92

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Solution

The fourth proportional to 5,409.92, 8,114.88 and 1,305.92 is: 1,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.92 : 8,114.88 = 1,305.92 : x
  2. Step 2: Convert to fraction form
    5,409.92/8,114.88 = 1,305.92/x
  3. Step 3: Cross multiply
    5,409.92x = 8,114.88 × 1,305.92
  4. Step 4: Simplify right side
    5,409.92x = 10,597,384.09
  5. Step 5: Solve for x
    x = 10,597,384.09/5,409.92
  6. Step 6: Final answer
    x = 1,958.88

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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.