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Finding the Fourth Proportional to 31,940.40, 44,078.40 and 18,516

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Solution

The fourth proportional to 31,940.40, 44,078.40 and 18,516 is: 25,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940.40 : 44,078.40 = 18,516 : x
  2. Step 2: Convert to fraction form
    31,940.40/44,078.40 = 18,516/x
  3. Step 3: Cross multiply
    31,940.40x = 44,078.40 × 18,516
  4. Step 4: Simplify right side
    31,940.40x = 816,155,654.40
  5. Step 5: Solve for x
    x = 816,155,654.40/31,940.40
  6. Step 6: Final answer
    x = 25,552.46

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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.