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Finding the Fourth Proportional to 10,188.64, 15,286.02 and 8,425.68

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Solution

The fourth proportional to 10,188.64, 15,286.02 and 8,425.68 is: 12,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.64 : 15,286.02 = 8,425.68 : x
  2. Step 2: Convert to fraction form
    10,188.64/15,286.02 = 8,425.68/x
  3. Step 3: Cross multiply
    10,188.64x = 15,286.02 × 8,425.68
  4. Step 4: Simplify right side
    10,188.64x = 128,795,112.99
  5. Step 5: Solve for x
    x = 128,795,112.99/10,188.64
  6. Step 6: Final answer
    x = 12,641.05

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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.