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Finding the Fourth Proportional to 20,448.92, 30,679.86 and 7,301

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Solution

The fourth proportional to 20,448.92, 30,679.86 and 7,301 is: 10,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.92 : 30,679.86 = 7,301 : x
  2. Step 2: Convert to fraction form
    20,448.92/30,679.86 = 7,301/x
  3. Step 3: Cross multiply
    20,448.92x = 30,679.86 × 7,301
  4. Step 4: Simplify right side
    20,448.92x = 223,993,657.86
  5. Step 5: Solve for x
    x = 223,993,657.86/20,448.92
  6. Step 6: Final answer
    x = 10,953.81

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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.