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Finding the Fourth Proportional to 5,424.60, 7,485.06 and 3,186

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Solution

The fourth proportional to 5,424.60, 7,485.06 and 3,186 is: 4,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.60 : 7,485.06 = 3,186 : x
  2. Step 2: Convert to fraction form
    5,424.60/7,485.06 = 3,186/x
  3. Step 3: Cross multiply
    5,424.60x = 7,485.06 × 3,186
  4. Step 4: Simplify right side
    5,424.60x = 23,847,401.16
  5. Step 5: Solve for x
    x = 23,847,401.16/5,424.60
  6. Step 6: Final answer
    x = 4,396.16

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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.