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Finding the Fourth Proportional to 20,471.77, 30,705.89 and 12,464.46

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Solution

The fourth proportional to 20,471.77, 30,705.89 and 12,464.46 is: 18,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.77 : 30,705.89 = 12,464.46 : x
  2. Step 2: Convert to fraction form
    20,471.77/30,705.89 = 12,464.46/x
  3. Step 3: Cross multiply
    20,471.77x = 30,705.89 × 12,464.46
  4. Step 4: Simplify right side
    20,471.77x = 382,732,337.67
  5. Step 5: Solve for x
    x = 382,732,337.67/20,471.77
  6. Step 6: Final answer
    x = 18,695.62

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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.