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Finding the Fourth Proportional to 14,571, 20,107.98 and 7,947

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Solution

The fourth proportional to 14,571, 20,107.98 and 7,947 is: 10,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571 : 20,107.98 = 7,947 : x
  2. Step 2: Convert to fraction form
    14,571/20,107.98 = 7,947/x
  3. Step 3: Cross multiply
    14,571x = 20,107.98 × 7,947
  4. Step 4: Simplify right side
    14,571x = 159,798,117.06
  5. Step 5: Solve for x
    x = 159,798,117.06/14,571
  6. Step 6: Final answer
    x = 10,966.86

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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.