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Finding the Fourth Proportional to 7,286.60, 10,935.30 and 2,907.20

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Solution

The fourth proportional to 7,286.60, 10,935.30 and 2,907.20 is: 4,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.60 : 10,935.30 = 2,907.20 : x
  2. Step 2: Convert to fraction form
    7,286.60/10,935.30 = 2,907.20/x
  3. Step 3: Cross multiply
    7,286.60x = 10,935.30 × 2,907.20
  4. Step 4: Simplify right side
    7,286.60x = 31,791,104.16
  5. Step 5: Solve for x
    x = 31,791,104.16/7,286.60
  6. Step 6: Final answer
    x = 4,362.95

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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.