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Finding the Fourth Proportional to 8,496, 12,744.80 and 2,652.80

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Solution

The fourth proportional to 8,496, 12,744.80 and 2,652.80 is: 3,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 12,744.80 = 2,652.80 : x
  2. Step 2: Convert to fraction form
    8,496/12,744.80 = 2,652.80/x
  3. Step 3: Cross multiply
    8,496x = 12,744.80 × 2,652.80
  4. Step 4: Simplify right side
    8,496x = 33,809,405.44
  5. Step 5: Solve for x
    x = 33,809,405.44/8,496
  6. Step 6: Final answer
    x = 3,979.45

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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.