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Finding the Fourth Proportional to 7,164.80, 10,743.60 and 3,264.80

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Solution

The fourth proportional to 7,164.80, 10,743.60 and 3,264.80 is: 4,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.80 : 10,743.60 = 3,264.80 : x
  2. Step 2: Convert to fraction form
    7,164.80/10,743.60 = 3,264.80/x
  3. Step 3: Cross multiply
    7,164.80x = 10,743.60 × 3,264.80
  4. Step 4: Simplify right side
    7,164.80x = 35,075,705.28
  5. Step 5: Solve for x
    x = 35,075,705.28/7,164.80
  6. Step 6: Final answer
    x = 4,895.56

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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.