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Finding the Fourth Proportional to 8,404, 12,608.09 and 3,475.06

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Solution

The fourth proportional to 8,404, 12,608.09 and 3,475.06 is: 5,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404 : 12,608.09 = 3,475.06 : x
  2. Step 2: Convert to fraction form
    8,404/12,608.09 = 3,475.06/x
  3. Step 3: Cross multiply
    8,404x = 12,608.09 × 3,475.06
  4. Step 4: Simplify right side
    8,404x = 43,813,869.24
  5. Step 5: Solve for x
    x = 43,813,869.24/8,404
  6. Step 6: Final answer
    x = 5,213.45

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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.