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Finding the Fourth Proportional to 8,947.60, 12,349.20 and 5,759.98

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Solution

The fourth proportional to 8,947.60, 12,349.20 and 5,759.98 is: 7,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.60 : 12,349.20 = 5,759.98 : x
  2. Step 2: Convert to fraction form
    8,947.60/12,349.20 = 5,759.98/x
  3. Step 3: Cross multiply
    8,947.60x = 12,349.20 × 5,759.98
  4. Step 4: Simplify right side
    8,947.60x = 71,131,145.02
  5. Step 5: Solve for x
    x = 71,131,145.02/8,947.60
  6. Step 6: Final answer
    x = 7,949.75

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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.