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Finding the Fourth Proportional to 3,216, 4,814.64 and 2,288.64

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Solution

The fourth proportional to 3,216, 4,814.64 and 2,288.64 is: 3,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216 : 4,814.64 = 2,288.64 : x
  2. Step 2: Convert to fraction form
    3,216/4,814.64 = 2,288.64/x
  3. Step 3: Cross multiply
    3,216x = 4,814.64 × 2,288.64
  4. Step 4: Simplify right side
    3,216x = 11,018,977.69
  5. Step 5: Solve for x
    x = 11,018,977.69/3,216
  6. Step 6: Final answer
    x = 3,426.30

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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.