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Finding the Fourth Proportional to 5,687.04, 7,845.12 and 3,824.64

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Solution

The fourth proportional to 5,687.04, 7,845.12 and 3,824.64 is: 5,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.04 : 7,845.12 = 3,824.64 : x
  2. Step 2: Convert to fraction form
    5,687.04/7,845.12 = 3,824.64/x
  3. Step 3: Cross multiply
    5,687.04x = 7,845.12 × 3,824.64
  4. Step 4: Simplify right side
    5,687.04x = 30,004,759.76
  5. Step 5: Solve for x
    x = 30,004,759.76/5,687.04
  6. Step 6: Final answer
    x = 5,275.99

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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.