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Finding the Fourth Proportional to 21,157.94, 31,741.10 and 9,471.26

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Solution

The fourth proportional to 21,157.94, 31,741.10 and 9,471.26 is: 14,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.94 : 31,741.10 = 9,471.26 : x
  2. Step 2: Convert to fraction form
    21,157.94/31,741.10 = 9,471.26/x
  3. Step 3: Cross multiply
    21,157.94x = 31,741.10 × 9,471.26
  4. Step 4: Simplify right side
    21,157.94x = 300,628,004.72
  5. Step 5: Solve for x
    x = 300,628,004.72/21,157.94
  6. Step 6: Final answer
    x = 14,208.76

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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.