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Finding the Fourth Proportional to 6,765.60, 10,143.60 and 3,069.60

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Solution

The fourth proportional to 6,765.60, 10,143.60 and 3,069.60 is: 4,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.60 : 10,143.60 = 3,069.60 : x
  2. Step 2: Convert to fraction form
    6,765.60/10,143.60 = 3,069.60/x
  3. Step 3: Cross multiply
    6,765.60x = 10,143.60 × 3,069.60
  4. Step 4: Simplify right side
    6,765.60x = 31,136,794.56
  5. Step 5: Solve for x
    x = 31,136,794.56/6,765.60
  6. Step 6: Final answer
    x = 4,602.22

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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.