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Finding the Fourth Proportional to 20,186.68, 30,272.34 and 9,235

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Solution

The fourth proportional to 20,186.68, 30,272.34 and 9,235 is: 13,848.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.68 : 30,272.34 = 9,235 : x
  2. Step 2: Convert to fraction form
    20,186.68/30,272.34 = 9,235/x
  3. Step 3: Cross multiply
    20,186.68x = 30,272.34 × 9,235
  4. Step 4: Simplify right side
    20,186.68x = 279,565,059.90
  5. Step 5: Solve for x
    x = 279,565,059.90/20,186.68
  6. Step 6: Final answer
    x = 13,848.99

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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.