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Finding the Fourth Proportional to 12,993.64, 19,450.22 and 10,507.72

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Solution

The fourth proportional to 12,993.64, 19,450.22 and 10,507.72 is: 15,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.64 : 19,450.22 = 10,507.72 : x
  2. Step 2: Convert to fraction form
    12,993.64/19,450.22 = 10,507.72/x
  3. Step 3: Cross multiply
    12,993.64x = 19,450.22 × 10,507.72
  4. Step 4: Simplify right side
    12,993.64x = 204,377,465.70
  5. Step 5: Solve for x
    x = 204,377,465.70/12,993.64
  6. Step 6: Final answer
    x = 15,729.04

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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.