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Finding the Fourth Proportional to 10,321, 15,481.50 and 5,704

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Solution

The fourth proportional to 10,321, 15,481.50 and 5,704 is: 8,556

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321 : 15,481.50 = 5,704 : x
  2. Step 2: Convert to fraction form
    10,321/15,481.50 = 5,704/x
  3. Step 3: Cross multiply
    10,321x = 15,481.50 × 5,704
  4. Step 4: Simplify right side
    10,321x = 88,306,476
  5. Step 5: Solve for x
    x = 88,306,476/10,321
  6. Step 6: Final answer
    x = 8,556

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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.