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Finding the Fourth Proportional to 20,165.86, 30,252.03 and 8,482.42

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Solution

The fourth proportional to 20,165.86, 30,252.03 and 8,482.42 is: 12,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.86 : 30,252.03 = 8,482.42 : x
  2. Step 2: Convert to fraction form
    20,165.86/30,252.03 = 8,482.42/x
  3. Step 3: Cross multiply
    20,165.86x = 30,252.03 × 8,482.42
  4. Step 4: Simplify right side
    20,165.86x = 256,610,424.31
  5. Step 5: Solve for x
    x = 256,610,424.31/20,165.86
  6. Step 6: Final answer
    x = 12,724.99

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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.