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Finding the Fourth Proportional to 2,992.86, 4,489.50 and 912.72

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Solution

The fourth proportional to 2,992.86, 4,489.50 and 912.72 is: 1,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.86 : 4,489.50 = 912.72 : x
  2. Step 2: Convert to fraction form
    2,992.86/4,489.50 = 912.72/x
  3. Step 3: Cross multiply
    2,992.86x = 4,489.50 × 912.72
  4. Step 4: Simplify right side
    2,992.86x = 4,097,656.44
  5. Step 5: Solve for x
    x = 4,097,656.44/2,992.86
  6. Step 6: Final answer
    x = 1,369.14

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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.