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Finding the Fourth Proportional to 10,992, 15,175.80 and 7,633.68

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Solution

The fourth proportional to 10,992, 15,175.80 and 7,633.68 is: 10,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992 : 15,175.80 = 7,633.68 : x
  2. Step 2: Convert to fraction form
    10,992/15,175.80 = 7,633.68/x
  3. Step 3: Cross multiply
    10,992x = 15,175.80 × 7,633.68
  4. Step 4: Simplify right side
    10,992x = 115,847,200.94
  5. Step 5: Solve for x
    x = 115,847,200.94/10,992
  6. Step 6: Final answer
    x = 10,539.23

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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.