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Finding the Fourth Proportional to 38,471.44, 57,707.16 and 20,975.44

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Solution

The fourth proportional to 38,471.44, 57,707.16 and 20,975.44 is: 31,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.44 : 57,707.16 = 20,975.44 : x
  2. Step 2: Convert to fraction form
    38,471.44/57,707.16 = 20,975.44/x
  3. Step 3: Cross multiply
    38,471.44x = 57,707.16 × 20,975.44
  4. Step 4: Simplify right side
    38,471.44x = 1,210,433,072.15
  5. Step 5: Solve for x
    x = 1,210,433,072.15/38,471.44
  6. Step 6: Final answer
    x = 31,463.16

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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.