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Finding the Fourth Proportional to 11,616, 17,419.84 and 5,041.92

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Solution

The fourth proportional to 11,616, 17,419.84 and 5,041.92 is: 7,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 17,419.84 = 5,041.92 : x
  2. Step 2: Convert to fraction form
    11,616/17,419.84 = 5,041.92/x
  3. Step 3: Cross multiply
    11,616x = 17,419.84 × 5,041.92
  4. Step 4: Simplify right side
    11,616x = 87,829,439.69
  5. Step 5: Solve for x
    x = 87,829,439.69/11,616
  6. Step 6: Final answer
    x = 7,561.07

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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.