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Finding the Fourth Proportional to 4,921.71, 7,382.25 and 1,999.94

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Solution

The fourth proportional to 4,921.71, 7,382.25 and 1,999.94 is: 2,999.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.71 : 7,382.25 = 1,999.94 : x
  2. Step 2: Convert to fraction form
    4,921.71/7,382.25 = 1,999.94/x
  3. Step 3: Cross multiply
    4,921.71x = 7,382.25 × 1,999.94
  4. Step 4: Simplify right side
    4,921.71x = 14,764,020.15
  5. Step 5: Solve for x
    x = 14,764,020.15/4,921.71
  6. Step 6: Final answer
    x = 2,999.77

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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.