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Finding the Fourth Proportional to 7,432.86, 11,149.71 and 3,274.81

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Solution

The fourth proportional to 7,432.86, 11,149.71 and 3,274.81 is: 4,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.86 : 11,149.71 = 3,274.81 : x
  2. Step 2: Convert to fraction form
    7,432.86/11,149.71 = 3,274.81/x
  3. Step 3: Cross multiply
    7,432.86x = 11,149.71 × 3,274.81
  4. Step 4: Simplify right side
    7,432.86x = 36,513,181.81
  5. Step 5: Solve for x
    x = 36,513,181.81/7,432.86
  6. Step 6: Final answer
    x = 4,912.40

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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.