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Finding the Fourth Proportional to 11,409.42, 17,111.73 and 3,199.50

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Solution

The fourth proportional to 11,409.42, 17,111.73 and 3,199.50 is: 4,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.42 : 17,111.73 = 3,199.50 : x
  2. Step 2: Convert to fraction form
    11,409.42/17,111.73 = 3,199.50/x
  3. Step 3: Cross multiply
    11,409.42x = 17,111.73 × 3,199.50
  4. Step 4: Simplify right side
    11,409.42x = 54,748,980.14
  5. Step 5: Solve for x
    x = 54,748,980.14/11,409.42
  6. Step 6: Final answer
    x = 4,798.58

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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.