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Finding the Fourth Proportional to 8,409, 11,604.80 and 4,874.16

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Solution

The fourth proportional to 8,409, 11,604.80 and 4,874.16 is: 6,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 11,604.80 = 4,874.16 : x
  2. Step 2: Convert to fraction form
    8,409/11,604.80 = 4,874.16/x
  3. Step 3: Cross multiply
    8,409x = 11,604.80 × 4,874.16
  4. Step 4: Simplify right side
    8,409x = 56,563,651.97
  5. Step 5: Solve for x
    x = 56,563,651.97/8,409
  6. Step 6: Final answer
    x = 6,726.56

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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.