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Finding the Fourth Proportional to 19,760, 27,268.80 and 10,928

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Solution

The fourth proportional to 19,760, 27,268.80 and 10,928 is: 15,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,760 : 27,268.80 = 10,928 : x
  2. Step 2: Convert to fraction form
    19,760/27,268.80 = 10,928/x
  3. Step 3: Cross multiply
    19,760x = 27,268.80 × 10,928
  4. Step 4: Simplify right side
    19,760x = 297,993,446.40
  5. Step 5: Solve for x
    x = 297,993,446.40/19,760
  6. Step 6: Final answer
    x = 15,080.64

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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.