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Finding the Fourth Proportional to 7,325.60, 10,980.30 and 3,164.90

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Solution

The fourth proportional to 7,325.60, 10,980.30 and 3,164.90 is: 4,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.60 : 10,980.30 = 3,164.90 : x
  2. Step 2: Convert to fraction form
    7,325.60/10,980.30 = 3,164.90/x
  3. Step 3: Cross multiply
    7,325.60x = 10,980.30 × 3,164.90
  4. Step 4: Simplify right side
    7,325.60x = 34,751,551.47
  5. Step 5: Solve for x
    x = 34,751,551.47/7,325.60
  6. Step 6: Final answer
    x = 4,743.85

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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.