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Finding the Fourth Proportional to 14,845, 20,480.42 and 9,811.64

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Solution

The fourth proportional to 14,845, 20,480.42 and 9,811.64 is: 13,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,845 : 20,480.42 = 9,811.64 : x
  2. Step 2: Convert to fraction form
    14,845/20,480.42 = 9,811.64/x
  3. Step 3: Cross multiply
    14,845x = 20,480.42 × 9,811.64
  4. Step 4: Simplify right side
    14,845x = 200,946,508.09
  5. Step 5: Solve for x
    x = 200,946,508.09/14,845
  6. Step 6: Final answer
    x = 13,536.31

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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.