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Finding the Fourth Proportional to 13,598.92, 20,398.40 and 3,739.24

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Solution

The fourth proportional to 13,598.92, 20,398.40 and 3,739.24 is: 5,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.92 : 20,398.40 = 3,739.24 : x
  2. Step 2: Convert to fraction form
    13,598.92/20,398.40 = 3,739.24/x
  3. Step 3: Cross multiply
    13,598.92x = 20,398.40 × 3,739.24
  4. Step 4: Simplify right side
    13,598.92x = 76,274,513.22
  5. Step 5: Solve for x
    x = 76,274,513.22/13,598.92
  6. Step 6: Final answer
    x = 5,608.87

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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.