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Finding the Fourth Proportional to 23,116, 31,900 and 12,505.64

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Solution

The fourth proportional to 23,116, 31,900 and 12,505.64 is: 17,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116 : 31,900 = 12,505.64 : x
  2. Step 2: Convert to fraction form
    23,116/31,900 = 12,505.64/x
  3. Step 3: Cross multiply
    23,116x = 31,900 × 12,505.64
  4. Step 4: Simplify right side
    23,116x = 398,929,916
  5. Step 5: Solve for x
    x = 398,929,916/23,116
  6. Step 6: Final answer
    x = 17,257.74

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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.