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Finding the Fourth Proportional to 11,993.13, 18,013.41 and 7,258.86

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Solution

The fourth proportional to 11,993.13, 18,013.41 and 7,258.86 is: 10,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.13 : 18,013.41 = 7,258.86 : x
  2. Step 2: Convert to fraction form
    11,993.13/18,013.41 = 7,258.86/x
  3. Step 3: Cross multiply
    11,993.13x = 18,013.41 × 7,258.86
  4. Step 4: Simplify right side
    11,993.13x = 130,756,821.31
  5. Step 5: Solve for x
    x = 130,756,821.31/11,993.13
  6. Step 6: Final answer
    x = 10,902.64

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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.