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Finding the Fourth Proportional to 10,504, 15,758.56 and 3,208

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Solution

The fourth proportional to 10,504, 15,758.56 and 3,208 is: 4,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504 : 15,758.56 = 3,208 : x
  2. Step 2: Convert to fraction form
    10,504/15,758.56 = 3,208/x
  3. Step 3: Cross multiply
    10,504x = 15,758.56 × 3,208
  4. Step 4: Simplify right side
    10,504x = 50,553,460.48
  5. Step 5: Solve for x
    x = 50,553,460.48/10,504
  6. Step 6: Final answer
    x = 4,812.78

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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.