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Finding the Fourth Proportional to 8,626.01, 12,945.42 and 6,409.96

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Solution

The fourth proportional to 8,626.01, 12,945.42 and 6,409.96 is: 9,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,626.01 : 12,945.42 = 6,409.96 : x
  2. Step 2: Convert to fraction form
    8,626.01/12,945.42 = 6,409.96/x
  3. Step 3: Cross multiply
    8,626.01x = 12,945.42 × 6,409.96
  4. Step 4: Simplify right side
    8,626.01x = 82,979,592.02
  5. Step 5: Solve for x
    x = 82,979,592.02/8,626.01
  6. Step 6: Final answer
    x = 9,619.70

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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.