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Finding the Fourth Proportional to 5,646.72, 7,792.92 and 3,288

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Solution

The fourth proportional to 5,646.72, 7,792.92 and 3,288 is: 4,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.72 : 7,792.92 = 3,288 : x
  2. Step 2: Convert to fraction form
    5,646.72/7,792.92 = 3,288/x
  3. Step 3: Cross multiply
    5,646.72x = 7,792.92 × 3,288
  4. Step 4: Simplify right side
    5,646.72x = 25,623,120.96
  5. Step 5: Solve for x
    x = 25,623,120.96/5,646.72
  6. Step 6: Final answer
    x = 4,537.70

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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.