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Finding the Fourth Proportional to 8,375.79, 12,564.60 and 3,447.75

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Solution

The fourth proportional to 8,375.79, 12,564.60 and 3,447.75 is: 5,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.79 : 12,564.60 = 3,447.75 : x
  2. Step 2: Convert to fraction form
    8,375.79/12,564.60 = 3,447.75/x
  3. Step 3: Cross multiply
    8,375.79x = 12,564.60 × 3,447.75
  4. Step 4: Simplify right side
    8,375.79x = 43,319,599.65
  5. Step 5: Solve for x
    x = 43,319,599.65/8,375.79
  6. Step 6: Final answer
    x = 5,172.00

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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.