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Finding the Fourth Proportional to 11,469.50, 15,828.15 and 6,501.50

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Solution

The fourth proportional to 11,469.50, 15,828.15 and 6,501.50 is: 8,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.50 : 15,828.15 = 6,501.50 : x
  2. Step 2: Convert to fraction form
    11,469.50/15,828.15 = 6,501.50/x
  3. Step 3: Cross multiply
    11,469.50x = 15,828.15 × 6,501.50
  4. Step 4: Simplify right side
    11,469.50x = 102,906,717.23
  5. Step 5: Solve for x
    x = 102,906,717.23/11,469.50
  6. Step 6: Final answer
    x = 8,972.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.