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Finding the Fourth Proportional to 4,921.28, 7,382.28 and 1,999.64

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Solution

The fourth proportional to 4,921.28, 7,382.28 and 1,999.64 is: 2,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.28 : 7,382.28 = 1,999.64 : x
  2. Step 2: Convert to fraction form
    4,921.28/7,382.28 = 1,999.64/x
  3. Step 3: Cross multiply
    4,921.28x = 7,382.28 × 1,999.64
  4. Step 4: Simplify right side
    4,921.28x = 14,761,902.38
  5. Step 5: Solve for x
    x = 14,761,902.38/4,921.28
  6. Step 6: Final answer
    x = 2,999.61

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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.