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Finding the Fourth Proportional to 5,721.53, 7,896.47 and 3,203.78

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Solution

The fourth proportional to 5,721.53, 7,896.47 and 3,203.78 is: 4,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.53 : 7,896.47 = 3,203.78 : x
  2. Step 2: Convert to fraction form
    5,721.53/7,896.47 = 3,203.78/x
  3. Step 3: Cross multiply
    5,721.53x = 7,896.47 × 3,203.78
  4. Step 4: Simplify right side
    5,721.53x = 25,298,497.16
  5. Step 5: Solve for x
    x = 25,298,497.16/5,721.53
  6. Step 6: Final answer
    x = 4,421.64

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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.