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Finding the Fourth Proportional to 14,651.82, 20,231.10 and 13,532.31

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Solution

The fourth proportional to 14,651.82, 20,231.10 and 13,532.31 is: 18,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.82 : 20,231.10 = 13,532.31 : x
  2. Step 2: Convert to fraction form
    14,651.82/20,231.10 = 13,532.31/x
  3. Step 3: Cross multiply
    14,651.82x = 20,231.10 × 13,532.31
  4. Step 4: Simplify right side
    14,651.82x = 273,773,516.84
  5. Step 5: Solve for x
    x = 273,773,516.84/14,651.82
  6. Step 6: Final answer
    x = 18,685.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.