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Finding the Fourth Proportional to 10,493, 15,739.50 and 3,197

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Solution

The fourth proportional to 10,493, 15,739.50 and 3,197 is: 4,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493 : 15,739.50 = 3,197 : x
  2. Step 2: Convert to fraction form
    10,493/15,739.50 = 3,197/x
  3. Step 3: Cross multiply
    10,493x = 15,739.50 × 3,197
  4. Step 4: Simplify right side
    10,493x = 50,319,181.50
  5. Step 5: Solve for x
    x = 50,319,181.50/10,493
  6. Step 6: Final answer
    x = 4,795.50

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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.