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Finding the Fourth Proportional to 4,871.31, 6,720.06 and 3,192

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Solution

The fourth proportional to 4,871.31, 6,720.06 and 3,192 is: 4,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.31 : 6,720.06 = 3,192 : x
  2. Step 2: Convert to fraction form
    4,871.31/6,720.06 = 3,192/x
  3. Step 3: Cross multiply
    4,871.31x = 6,720.06 × 3,192
  4. Step 4: Simplify right side
    4,871.31x = 21,450,431.52
  5. Step 5: Solve for x
    x = 21,450,431.52/4,871.31
  6. Step 6: Final answer
    x = 4,403.42

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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.