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Finding the Fourth Proportional to 4,418, 6,627.81 and 2,109.50

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Solution

The fourth proportional to 4,418, 6,627.81 and 2,109.50 is: 3,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418 : 6,627.81 = 2,109.50 : x
  2. Step 2: Convert to fraction form
    4,418/6,627.81 = 2,109.50/x
  3. Step 3: Cross multiply
    4,418x = 6,627.81 × 2,109.50
  4. Step 4: Simplify right side
    4,418x = 13,981,365.20
  5. Step 5: Solve for x
    x = 13,981,365.20/4,418
  6. Step 6: Final answer
    x = 3,164.64

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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.