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Finding the Fourth Proportional to 13,343.81, 20,027.83 and 7,109.14

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Solution

The fourth proportional to 13,343.81, 20,027.83 and 7,109.14 is: 10,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.81 : 20,027.83 = 7,109.14 : x
  2. Step 2: Convert to fraction form
    13,343.81/20,027.83 = 7,109.14/x
  3. Step 3: Cross multiply
    13,343.81x = 20,027.83 × 7,109.14
  4. Step 4: Simplify right side
    13,343.81x = 142,380,647.37
  5. Step 5: Solve for x
    x = 142,380,647.37/13,343.81
  6. Step 6: Final answer
    x = 10,670.16

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1.5x scale

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.