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Finding the Fourth Proportional to 12,947.60, 17,824.50 and 12,352.49

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Solution

The fourth proportional to 12,947.60, 17,824.50 and 12,352.49 is: 17,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.60 : 17,824.50 = 12,352.49 : x
  2. Step 2: Convert to fraction form
    12,947.60/17,824.50 = 12,352.49/x
  3. Step 3: Cross multiply
    12,947.60x = 17,824.50 × 12,352.49
  4. Step 4: Simplify right side
    12,947.60x = 220,176,958.01
  5. Step 5: Solve for x
    x = 220,176,958.01/12,947.60
  6. Step 6: Final answer
    x = 17,005.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.