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Finding the Fourth Proportional to 5,712.25, 7,883.99 and 3,228.25

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Solution

The fourth proportional to 5,712.25, 7,883.99 and 3,228.25 is: 4,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.25 : 7,883.99 = 3,228.25 : x
  2. Step 2: Convert to fraction form
    5,712.25/7,883.99 = 3,228.25/x
  3. Step 3: Cross multiply
    5,712.25x = 7,883.99 × 3,228.25
  4. Step 4: Simplify right side
    5,712.25x = 25,451,490.72
  5. Step 5: Solve for x
    x = 25,451,490.72/5,712.25
  6. Step 6: Final answer
    x = 4,455.60

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1.5x scale

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.