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Finding the Fourth Proportional to 11,648, 17,470.24 and 3,855.84

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Solution

The fourth proportional to 11,648, 17,470.24 and 3,855.84 is: 5,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648 : 17,470.24 = 3,855.84 : x
  2. Step 2: Convert to fraction form
    11,648/17,470.24 = 3,855.84/x
  3. Step 3: Cross multiply
    11,648x = 17,470.24 × 3,855.84
  4. Step 4: Simplify right side
    11,648x = 67,362,450.20
  5. Step 5: Solve for x
    x = 67,362,450.20/11,648
  6. Step 6: Final answer
    x = 5,783.18

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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.