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Finding the Fourth Proportional to 14,575.36, 20,109 and 8,286.16

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Solution

The fourth proportional to 14,575.36, 20,109 and 8,286.16 is: 11,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.36 : 20,109 = 8,286.16 : x
  2. Step 2: Convert to fraction form
    14,575.36/20,109 = 8,286.16/x
  3. Step 3: Cross multiply
    14,575.36x = 20,109 × 8,286.16
  4. Step 4: Simplify right side
    14,575.36x = 166,626,391.44
  5. Step 5: Solve for x
    x = 166,626,391.44/14,575.36
  6. Step 6: Final answer
    x = 11,432.06

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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.