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Finding the Fourth Proportional to 8,386.07, 12,581.60 and 3,456

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Solution

The fourth proportional to 8,386.07, 12,581.60 and 3,456 is: 5,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.07 : 12,581.60 = 3,456 : x
  2. Step 2: Convert to fraction form
    8,386.07/12,581.60 = 3,456/x
  3. Step 3: Cross multiply
    8,386.07x = 12,581.60 × 3,456
  4. Step 4: Simplify right side
    8,386.07x = 43,481,992.32
  5. Step 5: Solve for x
    x = 43,481,992.32/8,386.07
  6. Step 6: Final answer
    x = 5,185.03

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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.