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Finding the Fourth Proportional to 12,431.48, 18,647.48 and 3,197.48

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Solution

The fourth proportional to 12,431.48, 18,647.48 and 3,197.48 is: 4,796.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.48 : 18,647.48 = 3,197.48 : x
  2. Step 2: Convert to fraction form
    12,431.48/18,647.48 = 3,197.48/x
  3. Step 3: Cross multiply
    12,431.48x = 18,647.48 × 3,197.48
  4. Step 4: Simplify right side
    12,431.48x = 59,624,859.11
  5. Step 5: Solve for x
    x = 59,624,859.11/12,431.48
  6. Step 6: Final answer
    x = 4,796.28

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1.5x scale

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.