Home / 7,214.80-10,822.32-2,284.48

Finding the Fourth Proportional to 7,214.80, 10,822.32 and 2,284.48

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Solution

The fourth proportional to 7,214.80, 10,822.32 and 2,284.48 is: 3,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.80 : 10,822.32 = 2,284.48 : x
  2. Step 2: Convert to fraction form
    7,214.80/10,822.32 = 2,284.48/x
  3. Step 3: Cross multiply
    7,214.80x = 10,822.32 × 2,284.48
  4. Step 4: Simplify right side
    7,214.80x = 24,723,373.59
  5. Step 5: Solve for x
    x = 24,723,373.59/7,214.80
  6. Step 6: Final answer
    x = 3,426.76

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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.