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Finding the Fourth Proportional to 7,310.40, 10,965.60 and 3,415.20

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Solution

The fourth proportional to 7,310.40, 10,965.60 and 3,415.20 is: 5,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.40 : 10,965.60 = 3,415.20 : x
  2. Step 2: Convert to fraction form
    7,310.40/10,965.60 = 3,415.20/x
  3. Step 3: Cross multiply
    7,310.40x = 10,965.60 × 3,415.20
  4. Step 4: Simplify right side
    7,310.40x = 37,449,717.12
  5. Step 5: Solve for x
    x = 37,449,717.12/7,310.40
  6. Step 6: Final answer
    x = 5,122.80

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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.