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Finding the Fourth Proportional to 11,587.68, 17,388 and 4,662.72

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Solution

The fourth proportional to 11,587.68, 17,388 and 4,662.72 is: 6,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.68 : 17,388 = 4,662.72 : x
  2. Step 2: Convert to fraction form
    11,587.68/17,388 = 4,662.72/x
  3. Step 3: Cross multiply
    11,587.68x = 17,388 × 4,662.72
  4. Step 4: Simplify right side
    11,587.68x = 81,075,375.36
  5. Step 5: Solve for x
    x = 81,075,375.36/11,587.68
  6. Step 6: Final answer
    x = 6,996.69

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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.