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Finding the Fourth Proportional to 54,013.56, 81,021.54 and 14,571

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Solution

The fourth proportional to 54,013.56, 81,021.54 and 14,571 is: 21,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,013.56 : 81,021.54 = 14,571 : x
  2. Step 2: Convert to fraction form
    54,013.56/81,021.54 = 14,571/x
  3. Step 3: Cross multiply
    54,013.56x = 81,021.54 × 14,571
  4. Step 4: Simplify right side
    54,013.56x = 1,180,564,859.34
  5. Step 5: Solve for x
    x = 1,180,564,859.34/54,013.56
  6. Step 6: Final answer
    x = 21,856.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.