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Finding the Fourth Proportional to 13,343.86, 20,019.84 and 7,102.81

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Solution

The fourth proportional to 13,343.86, 20,019.84 and 7,102.81 is: 10,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.86 : 20,019.84 = 7,102.81 : x
  2. Step 2: Convert to fraction form
    13,343.86/20,019.84 = 7,102.81/x
  3. Step 3: Cross multiply
    13,343.86x = 20,019.84 × 7,102.81
  4. Step 4: Simplify right side
    13,343.86x = 142,197,119.75
  5. Step 5: Solve for x
    x = 142,197,119.75/13,343.86
  6. Step 6: Final answer
    x = 10,656.37

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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.