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Finding the Fourth Proportional to 12,305.60, 18,449.46 and 4,907.84

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Solution

The fourth proportional to 12,305.60, 18,449.46 and 4,907.84 is: 7,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.60 : 18,449.46 = 4,907.84 : x
  2. Step 2: Convert to fraction form
    12,305.60/18,449.46 = 4,907.84/x
  3. Step 3: Cross multiply
    12,305.60x = 18,449.46 × 4,907.84
  4. Step 4: Simplify right side
    12,305.60x = 90,546,997.77
  5. Step 5: Solve for x
    x = 90,546,997.77/12,305.60
  6. Step 6: Final answer
    x = 7,358.19

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