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Finding the Fourth Proportional to 11,512.96, 17,257.92 and 9,808

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Solution

The fourth proportional to 11,512.96, 17,257.92 and 9,808 is: 14,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.96 : 17,257.92 = 9,808 : x
  2. Step 2: Convert to fraction form
    11,512.96/17,257.92 = 9,808/x
  3. Step 3: Cross multiply
    11,512.96x = 17,257.92 × 9,808
  4. Step 4: Simplify right side
    11,512.96x = 169,265,679.36
  5. Step 5: Solve for x
    x = 169,265,679.36/11,512.96
  6. Step 6: Final answer
    x = 14,702.19

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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.