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Finding the Fourth Proportional to 12,441.64, 18,650.36 and 7,986.76

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Solution

The fourth proportional to 12,441.64, 18,650.36 and 7,986.76 is: 11,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.64 : 18,650.36 = 7,986.76 : x
  2. Step 2: Convert to fraction form
    12,441.64/18,650.36 = 7,986.76/x
  3. Step 3: Cross multiply
    12,441.64x = 18,650.36 × 7,986.76
  4. Step 4: Simplify right side
    12,441.64x = 148,955,949.23
  5. Step 5: Solve for x
    x = 148,955,949.23/12,441.64
  6. Step 6: Final answer
    x = 11,972.37

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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.