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Finding the Fourth Proportional to 3,924, 5,883.96 and 1,326

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Solution

The fourth proportional to 3,924, 5,883.96 and 1,326 is: 1,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,883.96 = 1,326 : x
  2. Step 2: Convert to fraction form
    3,924/5,883.96 = 1,326/x
  3. Step 3: Cross multiply
    3,924x = 5,883.96 × 1,326
  4. Step 4: Simplify right side
    3,924x = 7,802,130.96
  5. Step 5: Solve for x
    x = 7,802,130.96/3,924
  6. Step 6: Final answer
    x = 1,988.31

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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.