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Finding the Fourth Proportional to 14,231.81, 19,640.21 and 7,944.19

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Solution

The fourth proportional to 14,231.81, 19,640.21 and 7,944.19 is: 10,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.81 : 19,640.21 = 7,944.19 : x
  2. Step 2: Convert to fraction form
    14,231.81/19,640.21 = 7,944.19/x
  3. Step 3: Cross multiply
    14,231.81x = 19,640.21 × 7,944.19
  4. Step 4: Simplify right side
    14,231.81x = 156,025,471.06
  5. Step 5: Solve for x
    x = 156,025,471.06/14,231.81
  6. Step 6: Final answer
    x = 10,963.15

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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.