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Finding the Fourth Proportional to 15,229, 21,016.02 and 8,605

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Solution

The fourth proportional to 15,229, 21,016.02 and 8,605 is: 11,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229 : 21,016.02 = 8,605 : x
  2. Step 2: Convert to fraction form
    15,229/21,016.02 = 8,605/x
  3. Step 3: Cross multiply
    15,229x = 21,016.02 × 8,605
  4. Step 4: Simplify right side
    15,229x = 180,842,852.10
  5. Step 5: Solve for x
    x = 180,842,852.10/15,229
  6. Step 6: Final answer
    x = 11,874.90

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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.