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Finding the Fourth Proportional to 18,360, 27,544.32 and 7,971.84

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Solution

The fourth proportional to 18,360, 27,544.32 and 7,971.84 is: 11,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,360 : 27,544.32 = 7,971.84 : x
  2. Step 2: Convert to fraction form
    18,360/27,544.32 = 7,971.84/x
  3. Step 3: Cross multiply
    18,360x = 27,544.32 × 7,971.84
  4. Step 4: Simplify right side
    18,360x = 219,578,911.95
  5. Step 5: Solve for x
    x = 219,578,911.95/18,360
  6. Step 6: Final answer
    x = 11,959.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.