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Finding the Fourth Proportional to 2,997.86, 4,496.68 and 917.78

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Solution

The fourth proportional to 2,997.86, 4,496.68 and 917.78 is: 1,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.86 : 4,496.68 = 917.78 : x
  2. Step 2: Convert to fraction form
    2,997.86/4,496.68 = 917.78/x
  3. Step 3: Cross multiply
    2,997.86x = 4,496.68 × 917.78
  4. Step 4: Simplify right side
    2,997.86x = 4,126,962.97
  5. Step 5: Solve for x
    x = 4,126,962.97/2,997.86
  6. Step 6: Final answer
    x = 1,376.64

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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.