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Finding the Fourth Proportional to 31,516, 43,496.40 and 18,268

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Solution

The fourth proportional to 31,516, 43,496.40 and 18,268 is: 25,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516 : 43,496.40 = 18,268 : x
  2. Step 2: Convert to fraction form
    31,516/43,496.40 = 18,268/x
  3. Step 3: Cross multiply
    31,516x = 43,496.40 × 18,268
  4. Step 4: Simplify right side
    31,516x = 794,592,235.20
  5. Step 5: Solve for x
    x = 794,592,235.20/31,516
  6. Step 6: Final answer
    x = 25,212.34

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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.