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Finding the Fourth Proportional to 14,642.62, 20,201.42 and 9,609.64

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Solution

The fourth proportional to 14,642.62, 20,201.42 and 9,609.64 is: 13,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.62 : 20,201.42 = 9,609.64 : x
  2. Step 2: Convert to fraction form
    14,642.62/20,201.42 = 9,609.64/x
  3. Step 3: Cross multiply
    14,642.62x = 20,201.42 × 9,609.64
  4. Step 4: Simplify right side
    14,642.62x = 194,128,347.21
  5. Step 5: Solve for x
    x = 194,128,347.21/14,642.62
  6. Step 6: Final answer
    x = 13,257.76

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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.