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Finding the Fourth Proportional to 2,997.12, 4,494.96 and 916.68

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Solution

The fourth proportional to 2,997.12, 4,494.96 and 916.68 is: 1,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.12 : 4,494.96 = 916.68 : x
  2. Step 2: Convert to fraction form
    2,997.12/4,494.96 = 916.68/x
  3. Step 3: Cross multiply
    2,997.12x = 4,494.96 × 916.68
  4. Step 4: Simplify right side
    2,997.12x = 4,120,439.93
  5. Step 5: Solve for x
    x = 4,120,439.93/2,997.12
  6. Step 6: Final answer
    x = 1,374.80

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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.