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Finding the Fourth Proportional to 11,478, 17,219.88 and 3,270

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Solution

The fourth proportional to 11,478, 17,219.88 and 3,270 is: 4,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478 : 17,219.88 = 3,270 : x
  2. Step 2: Convert to fraction form
    11,478/17,219.88 = 3,270/x
  3. Step 3: Cross multiply
    11,478x = 17,219.88 × 3,270
  4. Step 4: Simplify right side
    11,478x = 56,309,007.60
  5. Step 5: Solve for x
    x = 56,309,007.60/11,478
  6. Step 6: Final answer
    x = 4,905.82

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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.