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Finding the Fourth Proportional to 8,471.79, 12,705.34 and 3,540.61

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Solution

The fourth proportional to 8,471.79, 12,705.34 and 3,540.61 is: 5,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.79 : 12,705.34 = 3,540.61 : x
  2. Step 2: Convert to fraction form
    8,471.79/12,705.34 = 3,540.61/x
  3. Step 3: Cross multiply
    8,471.79x = 12,705.34 × 3,540.61
  4. Step 4: Simplify right side
    8,471.79x = 44,984,653.86
  5. Step 5: Solve for x
    x = 44,984,653.86/8,471.79
  6. Step 6: Final answer
    x = 5,309.93

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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.