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Finding the Fourth Proportional to 8,355.60, 12,509.10 and 8,112.60

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Solution

The fourth proportional to 8,355.60, 12,509.10 and 8,112.60 is: 12,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.60 : 12,509.10 = 8,112.60 : x
  2. Step 2: Convert to fraction form
    8,355.60/12,509.10 = 8,112.60/x
  3. Step 3: Cross multiply
    8,355.60x = 12,509.10 × 8,112.60
  4. Step 4: Simplify right side
    8,355.60x = 101,481,324.66
  5. Step 5: Solve for x
    x = 101,481,324.66/8,355.60
  6. Step 6: Final answer
    x = 12,145.31

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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.