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Finding the Fourth Proportional to 15,289, 21,099.14 and 8,665

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Solution

The fourth proportional to 15,289, 21,099.14 and 8,665 is: 11,957.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289 : 21,099.14 = 8,665 : x
  2. Step 2: Convert to fraction form
    15,289/21,099.14 = 8,665/x
  3. Step 3: Cross multiply
    15,289x = 21,099.14 × 8,665
  4. Step 4: Simplify right side
    15,289x = 182,824,048.10
  5. Step 5: Solve for x
    x = 182,824,048.10/15,289
  6. Step 6: Final answer
    x = 11,957.88

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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.