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Finding the Fourth Proportional to 11,405.70, 17,099.74 and 7,237.03

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Solution

The fourth proportional to 11,405.70, 17,099.74 and 7,237.03 is: 10,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.70 : 17,099.74 = 7,237.03 : x
  2. Step 2: Convert to fraction form
    11,405.70/17,099.74 = 7,237.03/x
  3. Step 3: Cross multiply
    11,405.70x = 17,099.74 × 7,237.03
  4. Step 4: Simplify right side
    11,405.70x = 123,751,331.37
  5. Step 5: Solve for x
    x = 123,751,331.37/11,405.70
  6. Step 6: Final answer
    x = 10,849.95

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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.