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Finding the Fourth Proportional to 7,322.40, 10,976.40 and 3,625.20

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Solution

The fourth proportional to 7,322.40, 10,976.40 and 3,625.20 is: 5,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.40 : 10,976.40 = 3,625.20 : x
  2. Step 2: Convert to fraction form
    7,322.40/10,976.40 = 3,625.20/x
  3. Step 3: Cross multiply
    7,322.40x = 10,976.40 × 3,625.20
  4. Step 4: Simplify right side
    7,322.40x = 39,791,645.28
  5. Step 5: Solve for x
    x = 39,791,645.28/7,322.40
  6. Step 6: Final answer
    x = 5,434.24

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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.