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Finding the Fourth Proportional to 8,124.64, 12,186.96 and 1,968.64

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Solution

The fourth proportional to 8,124.64, 12,186.96 and 1,968.64 is: 2,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.64 : 12,186.96 = 1,968.64 : x
  2. Step 2: Convert to fraction form
    8,124.64/12,186.96 = 1,968.64/x
  3. Step 3: Cross multiply
    8,124.64x = 12,186.96 × 1,968.64
  4. Step 4: Simplify right side
    8,124.64x = 23,991,736.93
  5. Step 5: Solve for x
    x = 23,991,736.93/8,124.64
  6. Step 6: Final answer
    x = 2,952.96

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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.