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Finding the Fourth Proportional to 7,286.40, 10,929.60 and 5,415.30

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Solution

The fourth proportional to 7,286.40, 10,929.60 and 5,415.30 is: 8,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.40 : 10,929.60 = 5,415.30 : x
  2. Step 2: Convert to fraction form
    7,286.40/10,929.60 = 5,415.30/x
  3. Step 3: Cross multiply
    7,286.40x = 10,929.60 × 5,415.30
  4. Step 4: Simplify right side
    7,286.40x = 59,187,062.88
  5. Step 5: Solve for x
    x = 59,187,062.88/7,286.40
  6. Step 6: Final answer
    x = 8,122.95

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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.