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Finding the Fourth Proportional to 18,324, 25,287.12 and 9,940.50

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Solution

The fourth proportional to 18,324, 25,287.12 and 9,940.50 is: 13,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 25,287.12 = 9,940.50 : x
  2. Step 2: Convert to fraction form
    18,324/25,287.12 = 9,940.50/x
  3. Step 3: Cross multiply
    18,324x = 25,287.12 × 9,940.50
  4. Step 4: Simplify right side
    18,324x = 251,366,616.36
  5. Step 5: Solve for x
    x = 251,366,616.36/18,324
  6. Step 6: Final answer
    x = 13,717.89

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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.