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Finding the Fourth Proportional to 23,157, 31,956.48 and 12,546.36

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Solution

The fourth proportional to 23,157, 31,956.48 and 12,546.36 is: 17,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157 : 31,956.48 = 12,546.36 : x
  2. Step 2: Convert to fraction form
    23,157/31,956.48 = 12,546.36/x
  3. Step 3: Cross multiply
    23,157x = 31,956.48 × 12,546.36
  4. Step 4: Simplify right side
    23,157x = 400,937,502.41
  5. Step 5: Solve for x
    x = 400,937,502.41/23,157
  6. Step 6: Final answer
    x = 17,313.88

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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.