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Finding the Fourth Proportional to 11,621.84, 17,431.96 and 6,687.84

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Solution

The fourth proportional to 11,621.84, 17,431.96 and 6,687.84 is: 10,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,621.84 : 17,431.96 = 6,687.84 : x
  2. Step 2: Convert to fraction form
    11,621.84/17,431.96 = 6,687.84/x
  3. Step 3: Cross multiply
    11,621.84x = 17,431.96 × 6,687.84
  4. Step 4: Simplify right side
    11,621.84x = 116,582,159.37
  5. Step 5: Solve for x
    x = 116,582,159.37/11,621.84
  6. Step 6: Final answer
    x = 10,031.30

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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.