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Finding the Fourth Proportional to 7,284, 10,051.92 and 3,972

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Solution

The fourth proportional to 7,284, 10,051.92 and 3,972 is: 5,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 10,051.92 = 3,972 : x
  2. Step 2: Convert to fraction form
    7,284/10,051.92 = 3,972/x
  3. Step 3: Cross multiply
    7,284x = 10,051.92 × 3,972
  4. Step 4: Simplify right side
    7,284x = 39,926,226.24
  5. Step 5: Solve for x
    x = 39,926,226.24/7,284
  6. Step 6: Final answer
    x = 5,481.36

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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.