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Finding the Fourth Proportional to 18,362, 25,339.56 and 9,978.50

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Solution

The fourth proportional to 18,362, 25,339.56 and 9,978.50 is: 13,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,362 : 25,339.56 = 9,978.50 : x
  2. Step 2: Convert to fraction form
    18,362/25,339.56 = 9,978.50/x
  3. Step 3: Cross multiply
    18,362x = 25,339.56 × 9,978.50
  4. Step 4: Simplify right side
    18,362x = 252,850,799.46
  5. Step 5: Solve for x
    x = 252,850,799.46/18,362
  6. Step 6: Final answer
    x = 13,770.33

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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.