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Finding the Fourth Proportional to 20,079.63, 30,078.54 and 9,517.64

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Solution

The fourth proportional to 20,079.63, 30,078.54 and 9,517.64 is: 14,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,079.63 : 30,078.54 = 9,517.64 : x
  2. Step 2: Convert to fraction form
    20,079.63/30,078.54 = 9,517.64/x
  3. Step 3: Cross multiply
    20,079.63x = 30,078.54 × 9,517.64
  4. Step 4: Simplify right side
    20,079.63x = 286,276,565.05
  5. Step 5: Solve for x
    x = 286,276,565.05/20,079.63
  6. Step 6: Final answer
    x = 14,257.06

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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.