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Finding the Fourth Proportional to 11,742.16, 17,616 and 5,168.88

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Solution

The fourth proportional to 11,742.16, 17,616 and 5,168.88 is: 7,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.16 : 17,616 = 5,168.88 : x
  2. Step 2: Convert to fraction form
    11,742.16/17,616 = 5,168.88/x
  3. Step 3: Cross multiply
    11,742.16x = 17,616 × 5,168.88
  4. Step 4: Simplify right side
    11,742.16x = 91,054,990.08
  5. Step 5: Solve for x
    x = 91,054,990.08/11,742.16
  6. Step 6: Final answer
    x = 7,754.53

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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.