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Finding the Fourth Proportional to 11,538.32, 17,322.36 and 9,905.36

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Solution

The fourth proportional to 11,538.32, 17,322.36 and 9,905.36 is: 14,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.32 : 17,322.36 = 9,905.36 : x
  2. Step 2: Convert to fraction form
    11,538.32/17,322.36 = 9,905.36/x
  3. Step 3: Cross multiply
    11,538.32x = 17,322.36 × 9,905.36
  4. Step 4: Simplify right side
    11,538.32x = 171,584,211.85
  5. Step 5: Solve for x
    x = 171,584,211.85/11,538.32
  6. Step 6: Final answer
    x = 14,870.81

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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.