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Finding the Fourth Proportional to 11,416.28, 17,124.17 and 5,260.28

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Solution

The fourth proportional to 11,416.28, 17,124.17 and 5,260.28 is: 7,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.28 : 17,124.17 = 5,260.28 : x
  2. Step 2: Convert to fraction form
    11,416.28/17,124.17 = 5,260.28/x
  3. Step 3: Cross multiply
    11,416.28x = 17,124.17 × 5,260.28
  4. Step 4: Simplify right side
    11,416.28x = 90,077,856.50
  5. Step 5: Solve for x
    x = 90,077,856.50/11,416.28
  6. Step 6: Final answer
    x = 7,890.30

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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.