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Finding the Fourth Proportional to 7,242, 10,858.02 and 2,859.96

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Solution

The fourth proportional to 7,242, 10,858.02 and 2,859.96 is: 4,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242 : 10,858.02 = 2,859.96 : x
  2. Step 2: Convert to fraction form
    7,242/10,858.02 = 2,859.96/x
  3. Step 3: Cross multiply
    7,242x = 10,858.02 × 2,859.96
  4. Step 4: Simplify right side
    7,242x = 31,053,502.88
  5. Step 5: Solve for x
    x = 31,053,502.88/7,242
  6. Step 6: Final answer
    x = 4,287.97

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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.