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Finding the Fourth Proportional to 13,735.78, 18,958.17 and 8,150.02

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Solution

The fourth proportional to 13,735.78, 18,958.17 and 8,150.02 is: 11,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.78 : 18,958.17 = 8,150.02 : x
  2. Step 2: Convert to fraction form
    13,735.78/18,958.17 = 8,150.02/x
  3. Step 3: Cross multiply
    13,735.78x = 18,958.17 × 8,150.02
  4. Step 4: Simplify right side
    13,735.78x = 154,509,464.66
  5. Step 5: Solve for x
    x = 154,509,464.66/13,735.78
  6. Step 6: Final answer
    x = 11,248.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.