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Finding the Fourth Proportional to 7,287.24, 10,932.84 and 2,907.80

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Solution

The fourth proportional to 7,287.24, 10,932.84 and 2,907.80 is: 4,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.24 : 10,932.84 = 2,907.80 : x
  2. Step 2: Convert to fraction form
    7,287.24/10,932.84 = 2,907.80/x
  3. Step 3: Cross multiply
    7,287.24x = 10,932.84 × 2,907.80
  4. Step 4: Simplify right side
    7,287.24x = 31,790,512.15
  5. Step 5: Solve for x
    x = 31,790,512.15/7,287.24
  6. Step 6: Final answer
    x = 4,362.49

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1.5x scale

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.