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Finding the Fourth Proportional to 12,951.96, 17,875.30 and 7,286.96

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Solution

The fourth proportional to 12,951.96, 17,875.30 and 7,286.96 is: 10,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.96 : 17,875.30 = 7,286.96 : x
  2. Step 2: Convert to fraction form
    12,951.96/17,875.30 = 7,286.96/x
  3. Step 3: Cross multiply
    12,951.96x = 17,875.30 × 7,286.96
  4. Step 4: Simplify right side
    12,951.96x = 130,256,596.09
  5. Step 5: Solve for x
    x = 130,256,596.09/12,951.96
  6. Step 6: Final answer
    x = 10,056.90

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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.