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Finding the Fourth Proportional to 13,524, 18,664.80 and 8,220.64

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Solution

The fourth proportional to 13,524, 18,664.80 and 8,220.64 is: 11,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524 : 18,664.80 = 8,220.64 : x
  2. Step 2: Convert to fraction form
    13,524/18,664.80 = 8,220.64/x
  3. Step 3: Cross multiply
    13,524x = 18,664.80 × 8,220.64
  4. Step 4: Simplify right side
    13,524x = 153,436,601.47
  5. Step 5: Solve for x
    x = 153,436,601.47/13,524
  6. Step 6: Final answer
    x = 11,345.50

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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.