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Finding the Fourth Proportional to 18,283.50, 25,231.32 and 9,900

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Solution

The fourth proportional to 18,283.50, 25,231.32 and 9,900 is: 13,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.50 : 25,231.32 = 9,900 : x
  2. Step 2: Convert to fraction form
    18,283.50/25,231.32 = 9,900/x
  3. Step 3: Cross multiply
    18,283.50x = 25,231.32 × 9,900
  4. Step 4: Simplify right side
    18,283.50x = 249,790,068
  5. Step 5: Solve for x
    x = 249,790,068/18,283.50
  6. Step 6: Final answer
    x = 13,662.05

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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.