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Finding the Fourth Proportional to 15,009, 20,712.42 and 8,385

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Solution

The fourth proportional to 15,009, 20,712.42 and 8,385 is: 11,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009 : 20,712.42 = 8,385 : x
  2. Step 2: Convert to fraction form
    15,009/20,712.42 = 8,385/x
  3. Step 3: Cross multiply
    15,009x = 20,712.42 × 8,385
  4. Step 4: Simplify right side
    15,009x = 173,673,641.70
  5. Step 5: Solve for x
    x = 173,673,641.70/15,009
  6. Step 6: Final answer
    x = 11,571.30

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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.