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Finding the Fourth Proportional to 13,465.51, 20,198.05 and 4,231.51

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Solution

The fourth proportional to 13,465.51, 20,198.05 and 4,231.51 is: 6,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.51 : 20,198.05 = 4,231.51 : x
  2. Step 2: Convert to fraction form
    13,465.51/20,198.05 = 4,231.51/x
  3. Step 3: Cross multiply
    13,465.51x = 20,198.05 × 4,231.51
  4. Step 4: Simplify right side
    13,465.51x = 85,468,189.48
  5. Step 5: Solve for x
    x = 85,468,189.48/13,465.51
  6. Step 6: Final answer
    x = 6,347.19

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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.