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Finding the Fourth Proportional to 11,425, 17,140.02 and 4,856.80

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Solution

The fourth proportional to 11,425, 17,140.02 and 4,856.80 is: 7,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425 : 17,140.02 = 4,856.80 : x
  2. Step 2: Convert to fraction form
    11,425/17,140.02 = 4,856.80/x
  3. Step 3: Cross multiply
    11,425x = 17,140.02 × 4,856.80
  4. Step 4: Simplify right side
    11,425x = 83,245,649.14
  5. Step 5: Solve for x
    x = 83,245,649.14/11,425
  6. Step 6: Final answer
    x = 7,286.27

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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.