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Finding the Fourth Proportional to 11,993.81, 16,555.68 and 7,905.93

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Solution

The fourth proportional to 11,993.81, 16,555.68 and 7,905.93 is: 10,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.81 : 16,555.68 = 7,905.93 : x
  2. Step 2: Convert to fraction form
    11,993.81/16,555.68 = 7,905.93/x
  3. Step 3: Cross multiply
    11,993.81x = 16,555.68 × 7,905.93
  4. Step 4: Simplify right side
    11,993.81x = 130,888,047.18
  5. Step 5: Solve for x
    x = 130,888,047.18/11,993.81
  6. Step 6: Final answer
    x = 10,912.97

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1.5x scale

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.