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Finding the Fourth Proportional to 15,288, 21,097.76 and 8,664

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Solution

The fourth proportional to 15,288, 21,097.76 and 8,664 is: 11,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288 : 21,097.76 = 8,664 : x
  2. Step 2: Convert to fraction form
    15,288/21,097.76 = 8,664/x
  3. Step 3: Cross multiply
    15,288x = 21,097.76 × 8,664
  4. Step 4: Simplify right side
    15,288x = 182,790,992.64
  5. Step 5: Solve for x
    x = 182,790,992.64/15,288
  6. Step 6: Final answer
    x = 11,956.50

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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.