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Finding the Fourth Proportional to 15,556.48, 21,467.76 and 8,482.96

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Solution

The fourth proportional to 15,556.48, 21,467.76 and 8,482.96 is: 11,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,556.48 : 21,467.76 = 8,482.96 : x
  2. Step 2: Convert to fraction form
    15,556.48/21,467.76 = 8,482.96/x
  3. Step 3: Cross multiply
    15,556.48x = 21,467.76 × 8,482.96
  4. Step 4: Simplify right side
    15,556.48x = 182,110,149.37
  5. Step 5: Solve for x
    x = 182,110,149.37/15,556.48
  6. Step 6: Final answer
    x = 11,706.39

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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.