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Finding the Fourth Proportional to 15,273, 21,076.74 and 8,649

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Solution

The fourth proportional to 15,273, 21,076.74 and 8,649 is: 11,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,273 : 21,076.74 = 8,649 : x
  2. Step 2: Convert to fraction form
    15,273/21,076.74 = 8,649/x
  3. Step 3: Cross multiply
    15,273x = 21,076.74 × 8,649
  4. Step 4: Simplify right side
    15,273x = 182,292,724.26
  5. Step 5: Solve for x
    x = 182,292,724.26/15,273
  6. Step 6: Final answer
    x = 11,935.62

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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.