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Finding the Fourth Proportional to 12,199.96, 18,307.46 and 4,803.16

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Solution

The fourth proportional to 12,199.96, 18,307.46 and 4,803.16 is: 7,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.96 : 18,307.46 = 4,803.16 : x
  2. Step 2: Convert to fraction form
    12,199.96/18,307.46 = 4,803.16/x
  3. Step 3: Cross multiply
    12,199.96x = 18,307.46 × 4,803.16
  4. Step 4: Simplify right side
    12,199.96x = 87,933,659.57
  5. Step 5: Solve for x
    x = 87,933,659.57/12,199.96
  6. Step 6: Final answer
    x = 7,207.70

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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.