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Finding the Fourth Proportional to 12,311.96, 18,454.98 and 6,143

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Solution

The fourth proportional to 12,311.96, 18,454.98 and 6,143 is: 9,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.96 : 18,454.98 = 6,143 : x
  2. Step 2: Convert to fraction form
    12,311.96/18,454.98 = 6,143/x
  3. Step 3: Cross multiply
    12,311.96x = 18,454.98 × 6,143
  4. Step 4: Simplify right side
    12,311.96x = 113,368,942.14
  5. Step 5: Solve for x
    x = 113,368,942.14/12,311.96
  6. Step 6: Final answer
    x = 9,208.03

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1.5x scale

Why These Related Problems?

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