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Finding the Fourth Proportional to 13,765.87, 18,978.60 and 10,942.75

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Solution

The fourth proportional to 13,765.87, 18,978.60 and 10,942.75 is: 15,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.87 : 18,978.60 = 10,942.75 : x
  2. Step 2: Convert to fraction form
    13,765.87/18,978.60 = 10,942.75/x
  3. Step 3: Cross multiply
    13,765.87x = 18,978.60 × 10,942.75
  4. Step 4: Simplify right side
    13,765.87x = 207,678,075.15
  5. Step 5: Solve for x
    x = 207,678,075.15/13,765.87
  6. Step 6: Final answer
    x = 15,086.45

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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.