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Finding the Fourth Proportional to 20,156.31, 30,234.47 and 10,980.63

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Solution

The fourth proportional to 20,156.31, 30,234.47 and 10,980.63 is: 16,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.31 : 30,234.47 = 10,980.63 : x
  2. Step 2: Convert to fraction form
    20,156.31/30,234.47 = 10,980.63/x
  3. Step 3: Cross multiply
    20,156.31x = 30,234.47 × 10,980.63
  4. Step 4: Simplify right side
    20,156.31x = 331,993,473.41
  5. Step 5: Solve for x
    x = 331,993,473.41/20,156.31
  6. Step 6: Final answer
    x = 16,470.95

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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.