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Finding the Fourth Proportional to 7,429, 11,142.18 and 3,268.24

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Solution

The fourth proportional to 7,429, 11,142.18 and 3,268.24 is: 4,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429 : 11,142.18 = 3,268.24 : x
  2. Step 2: Convert to fraction form
    7,429/11,142.18 = 3,268.24/x
  3. Step 3: Cross multiply
    7,429x = 11,142.18 × 3,268.24
  4. Step 4: Simplify right side
    7,429x = 36,415,318.36
  5. Step 5: Solve for x
    x = 36,415,318.36/7,429
  6. Step 6: Final answer
    x = 4,901.78

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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.