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Finding the Fourth Proportional to 5,185, 7,758.06 and 3,228.04

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Solution

The fourth proportional to 5,185, 7,758.06 and 3,228.04 is: 4,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185 : 7,758.06 = 3,228.04 : x
  2. Step 2: Convert to fraction form
    5,185/7,758.06 = 3,228.04/x
  3. Step 3: Cross multiply
    5,185x = 7,758.06 × 3,228.04
  4. Step 4: Simplify right side
    5,185x = 25,043,328.00
  5. Step 5: Solve for x
    x = 25,043,328.00/5,185
  6. Step 6: Final answer
    x = 4,829.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.