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Finding the Fourth Proportional to 7,268, 10,029.84 and 3,956

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Solution

The fourth proportional to 7,268, 10,029.84 and 3,956 is: 5,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268 : 10,029.84 = 3,956 : x
  2. Step 2: Convert to fraction form
    7,268/10,029.84 = 3,956/x
  3. Step 3: Cross multiply
    7,268x = 10,029.84 × 3,956
  4. Step 4: Simplify right side
    7,268x = 39,678,047.04
  5. Step 5: Solve for x
    x = 39,678,047.04/7,268
  6. Step 6: Final answer
    x = 5,459.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.