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Finding the Fourth Proportional to 5,687.92, 7,847.20 and 3,448.98

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Solution

The fourth proportional to 5,687.92, 7,847.20 and 3,448.98 is: 4,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.92 : 7,847.20 = 3,448.98 : x
  2. Step 2: Convert to fraction form
    5,687.92/7,847.20 = 3,448.98/x
  3. Step 3: Cross multiply
    5,687.92x = 7,847.20 × 3,448.98
  4. Step 4: Simplify right side
    5,687.92x = 27,064,849.87
  5. Step 5: Solve for x
    x = 27,064,849.87/5,687.92
  6. Step 6: Final answer
    x = 4,758.30

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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.