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Finding the Fourth Proportional to 8,405.16, 12,600.21 and 3,471.65

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Solution

The fourth proportional to 8,405.16, 12,600.21 and 3,471.65 is: 5,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.16 : 12,600.21 = 3,471.65 : x
  2. Step 2: Convert to fraction form
    8,405.16/12,600.21 = 3,471.65/x
  3. Step 3: Cross multiply
    8,405.16x = 12,600.21 × 3,471.65
  4. Step 4: Simplify right side
    8,405.16x = 43,743,516.31
  5. Step 5: Solve for x
    x = 43,743,516.31/8,405.16
  6. Step 6: Final answer
    x = 5,204.37

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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.