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Finding the Fourth Proportional to 8,470.56, 12,705.54 and 3,205.38

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Solution

The fourth proportional to 8,470.56, 12,705.54 and 3,205.38 is: 4,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.56 : 12,705.54 = 3,205.38 : x
  2. Step 2: Convert to fraction form
    8,470.56/12,705.54 = 3,205.38/x
  3. Step 3: Cross multiply
    8,470.56x = 12,705.54 × 3,205.38
  4. Step 4: Simplify right side
    8,470.56x = 40,726,083.81
  5. Step 5: Solve for x
    x = 40,726,083.81/8,470.56
  6. Step 6: Final answer
    x = 4,807.96

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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.