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Finding the Fourth Proportional to 12,364.38, 18,543.33 and 5,783.94

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Solution

The fourth proportional to 12,364.38, 18,543.33 and 5,783.94 is: 8,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.38 : 18,543.33 = 5,783.94 : x
  2. Step 2: Convert to fraction form
    12,364.38/18,543.33 = 5,783.94/x
  3. Step 3: Cross multiply
    12,364.38x = 18,543.33 × 5,783.94
  4. Step 4: Simplify right side
    12,364.38x = 107,253,508.12
  5. Step 5: Solve for x
    x = 107,253,508.12/12,364.38
  6. Step 6: Final answer
    x = 8,674.39

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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.