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Finding the Fourth Proportional to 18,340.48, 27,510.72 and 7,952

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Solution

The fourth proportional to 18,340.48, 27,510.72 and 7,952 is: 11,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,340.48 : 27,510.72 = 7,952 : x
  2. Step 2: Convert to fraction form
    18,340.48/27,510.72 = 7,952/x
  3. Step 3: Cross multiply
    18,340.48x = 27,510.72 × 7,952
  4. Step 4: Simplify right side
    18,340.48x = 218,765,245.44
  5. Step 5: Solve for x
    x = 218,765,245.44/18,340.48
  6. Step 6: Final answer
    x = 11,928

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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.