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Finding the Fourth Proportional to 21,970.76, 32,960.46 and 8,119.88

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Solution

The fourth proportional to 21,970.76, 32,960.46 and 8,119.88 is: 12,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.76 : 32,960.46 = 8,119.88 : x
  2. Step 2: Convert to fraction form
    21,970.76/32,960.46 = 8,119.88/x
  3. Step 3: Cross multiply
    21,970.76x = 32,960.46 × 8,119.88
  4. Step 4: Simplify right side
    21,970.76x = 267,634,979.94
  5. Step 5: Solve for x
    x = 267,634,979.94/21,970.76
  6. Step 6: Final answer
    x = 12,181.42

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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.