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Finding the Fourth Proportional to 23,115, 31,903.02 and 13,179

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Solution

The fourth proportional to 23,115, 31,903.02 and 13,179 is: 18,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115 : 31,903.02 = 13,179 : x
  2. Step 2: Convert to fraction form
    23,115/31,903.02 = 13,179/x
  3. Step 3: Cross multiply
    23,115x = 31,903.02 × 13,179
  4. Step 4: Simplify right side
    23,115x = 420,449,900.58
  5. Step 5: Solve for x
    x = 420,449,900.58/23,115
  6. Step 6: Final answer
    x = 18,189.48

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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.