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Finding the Fourth Proportional to 13,735.37, 18,954.06 and 7,768.24

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Solution

The fourth proportional to 13,735.37, 18,954.06 and 7,768.24 is: 10,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.37 : 18,954.06 = 7,768.24 : x
  2. Step 2: Convert to fraction form
    13,735.37/18,954.06 = 7,768.24/x
  3. Step 3: Cross multiply
    13,735.37x = 18,954.06 × 7,768.24
  4. Step 4: Simplify right side
    13,735.37x = 147,239,687.05
  5. Step 5: Solve for x
    x = 147,239,687.05/13,735.37
  6. Step 6: Final answer
    x = 10,719.75

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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.