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Finding the Fourth Proportional to 4,180, 6,270 and 1,102

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Solution

The fourth proportional to 4,180, 6,270 and 1,102 is: 1,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 6,270 = 1,102 : x
  2. Step 2: Convert to fraction form
    4,180/6,270 = 1,102/x
  3. Step 3: Cross multiply
    4,180x = 6,270 × 1,102
  4. Step 4: Simplify right side
    4,180x = 6,909,540
  5. Step 5: Solve for x
    x = 6,909,540/4,180
  6. Step 6: Final answer
    x = 1,653

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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.