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Finding the Fourth Proportional to 14,481.84, 21,708 and 5,713.20

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Solution

The fourth proportional to 14,481.84, 21,708 and 5,713.20 is: 8,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,481.84 : 21,708 = 5,713.20 : x
  2. Step 2: Convert to fraction form
    14,481.84/21,708 = 5,713.20/x
  3. Step 3: Cross multiply
    14,481.84x = 21,708 × 5,713.20
  4. Step 4: Simplify right side
    14,481.84x = 124,022,145.60
  5. Step 5: Solve for x
    x = 124,022,145.60/14,481.84
  6. Step 6: Final answer
    x = 8,563.98

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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.